97937076601 has 81 divisors (see below), whose sum is σ = 130922432973. Its totient is φ = 73004742720.

The previous prime is 97937076581. The next prime is 97937076631. The reversal of 97937076601 is 10667073979.

It is a happy number.

The square root of 97937076601 is 312949.

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

It can be written as a sum of positive squares in 4 ways, for example, as 75429876025 + 22507200576 = 274645^2 + 150024^2 .

It is not a de Polignac number, because 97937076601 - 2¹³ = 97937068409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97937076631) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 541088731 + ... + 541088911.

It is an arithmetic number, because the mean of its divisors is an integer number (1616326333).

Almost surely, 2^97937076601 is an apocalyptic number.

97937076601 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

97937076601 is the 312949-th square number.

97937076601 is the 156475-th centered octagonal number.

It is an amenable number.

97937076601 is a deficient number, since it is larger than the sum of its proper divisors (32985356372).

97937076601 is a wasteful number, since it uses less digits than its factorization.

97937076601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 55.

The spelling of 97937076601 in words is "ninety-seven billion, nine hundred thirty-seven million, seventy-six thousand, six hundred one".