397957 has 8 divisors (see below), whose sum is σ = 459200. Its totient is φ = 337824.

The previous prime is 397951. The next prime is 397963. The reversal of 397957 is 759793.

It is an interprime number because it is at equal distance from previous prime (397951) and next prime (397963).

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 397957 - 2⁷ = 397829 is a prime.

397957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769 + ... + 1177.

It is an arithmetic number, because the mean of its divisors is an integer number (57400).

2³⁹⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

397957 is a deficient number, since it is larger than the sum of its proper divisors (61243).

397957 is a wasteful number, since it uses less digits than its factorization.

397957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555.

The product of its digits is 59535, while the sum is 40.

The square root of 397957 is about 630.8383311119. The cubic root of 397957 is about 73.5549745285.

The spelling of 397957 in words is "three hundred ninety-seven thousand, nine hundred fifty-seven".