3157 has 8 divisors (see below), whose sum is σ = 4032. Its totient is φ = 2400.

The previous prime is 3137. The next prime is 3163. The reversal of 3157 is 7513.

3157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sliding number, since 3157 = 32 + 3125 and 1/32 + 1/3125 = 0.03157.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3157 - 2¹¹ = 1109 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

2³¹⁵⁷ is an apocalyptic number.

It is an amenable number.

3157 is a deficient number, since it is larger than the sum of its proper divisors (875).

3157 is a wasteful number, since it uses less digits than its factorization.

3157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59.

The product of its digits is 105, while the sum is 16.

The square root of 3157 is about 56.1871871515. The cubic root of 3157 is about 14.6698225532.

Subtracting 3157 from its reverse (7513), we obtain a square (4356 = 66²).

It can be divided in two parts, 31 and 57, that added together give a palindrome (88).

The spelling of 3157 in words is "three thousand, one hundred fifty-seven".