397637 has 8 divisors (see below), whose sum is σ = 417792. Its totient is φ = 378000.

The previous prime is 397633. The next prime is 397643. The reversal of 397637 is 736793.

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 397637 - 2² = 397633 is a prime.

It is a d-powerful number, because it can be written as 3² + 9 + 6⁷ + 7 + 3³ + 7⁶ .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 397597 and 397606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397633) 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, 3068 + ... + 3194.

It is an arithmetic number, because the mean of its divisors is an integer number (52224).

2³⁹⁷⁶³⁷ is an apocalyptic number.

It is an amenable number.

397637 is a deficient number, since it is larger than the sum of its proper divisors (20155).

397637 is a wasteful number, since it uses less digits than its factorization.

397637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259.

The product of its digits is 23814, while the sum is 35.

The square root of 397637 is about 630.5846493533. The cubic root of 397637 is about 73.5352538856.

The spelling of 397637 in words is "three hundred ninety-seven thousand, six hundred thirty-seven".