397932610761 has 405 divisors, whose sum is σ = 801074349207. Its totient is φ = 196209941760.

The previous prime is 397932610759. The next prime is 397932610763. The reversal of 397932610761 is 167016239793.

It is a happy number.

The square root of 397932610761 is 630819.

It is a perfect power (a square), and thus also a powerful number.

397932610761 is a `hidden beast` number, since 397 + 93 + 2 + 6 + 107 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (397932610759) and next prime (397932610763).

It can be written as a sum of positive squares in only one way, i.e., 309809126025 + 88123484736 = 556605^2 + 296856^2 .

It is not a de Polignac number, because 397932610761 - 2¹ = 397932610759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 397932610698 and 397932610707.

It is not an unprimeable number, because it can be changed into a prime (397932610763) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 12836535816 + ... + 12836535846.

Almost surely, 2^397932610761 is an apocalyptic number.

397932610761 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

397932610761 is the 630819-th square number.

397932610761 is the 315410-th centered octagonal number.

It is an amenable number.

397932610761 is an abundant number, since it is smaller than the sum of its proper divisors (403141738446).

397932610761 is a wasteful number, since it uses less digits than its factorization.

397932610761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 397932610761 in words is "three hundred ninety-seven billion, nine hundred thirty-two million, six hundred ten thousand, seven hundred sixty-one".