3957 has 4 divisors (see below), whose sum is σ = 5280. Its totient is φ = 2636.

The previous prime is 3947. The next prime is 3967. The reversal of 3957 is 7593.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 7593 = 3 ⋅2531.

It is an interprime number because it is at equal distance from previous prime (3947) and next prime (3967).

It is a cyclic number.

It is not a de Polignac number, because 3957 - 2⁸ = 3701 is a prime.

It is a D-number.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 657 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (1320).

2³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

3957 is a deficient number, since it is larger than the sum of its proper divisors (1323).

3957 is a wasteful number, since it uses less digits than its factorization.

3957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322.

The product of its digits is 945, while the sum is 24.

The square root of 3957 is about 62.9046898093. The cubic root of 3957 is about 15.8169235959.

The spelling of 3957 in words is "three thousand, nine hundred fifty-seven".