3141 has 6 divisors (see below), whose sum is σ = 4550. Its totient is φ = 2088.

The previous prime is 3137. The next prime is 3163. The reversal of 3141 is 1413.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 225 = 54^2 + 15^2 .

It is not a de Polignac number, because 3141 - 2^{2} = 3137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 349 = 3141 / (3 + 1 + 4 + 1).

It is a Duffinian number.

It is a plaindrome in base 12 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166 + ... + 183.

2^{3141} is an apocalyptic number.

It is an amenable number.

3141 is a deficient number, since it is larger than the sum of its proper divisors (1409).

3141 is a wasteful number, since it uses less digits than its factorization.

3141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 352 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 3141 is about 56.0446250768. The cubic root of 3141 is about 14.6449978457.

Adding to 3141 its reverse (1413), we get a palindrome (4554).

Subtracting from 3141 its reverse (1413), we obtain a cube (1728 = 12^{3}).

It can be divided in two parts, 3 and 141, that added together give a square (144 = 12^{2}).

The spelling of 3141 in words is "three thousand, one hundred forty-one", and thus it is an iban number.

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