396957 has 16 divisors (see below), whose sum is σ = 603648. Its totient is φ = 229680.

The previous prime is 396953. The next prime is 396971. The reversal of 396957 is 759693.

It is not a de Polignac number, because 396957 - 2² = 396953 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396957.

It is not an unprimeable number, because it can be changed into a prime (396953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (37728).

2³⁹⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

396957 is a deficient number, since it is larger than the sum of its proper divisors (206691).

396957 is a wasteful number, since it uses less digits than its factorization.

396957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560.

The product of its digits is 51030, while the sum is 39.

The square root of 396957 is about 630.0452364712. The cubic root of 396957 is about 73.4933123630.

It can be divided in two parts, 39 and 6957, that added together give a palindrome (6996).

The spelling of 396957 in words is "three hundred ninety-six thousand, nine hundred fifty-seven".