97657377375679 has 32 divisors (see below), whose sum is σ = 113146860902400. Its totient is φ = 83356273203840.

The previous prime is 97657377375647. The next prime is 97657377375689.

97657377375679 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 97657377375679 - 2⁵ = 97657377375647 is a prime.

It is a super-2 number, since 2×97657377375679² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97657377375679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97657377375689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8938834 + ... + 16589680.

It is an arithmetic number, because the mean of its divisors is an integer number (3535839403200).

Almost surely, 2^{97657377375679} is an apocalyptic number.

97657377375679 is a deficient number, since it is larger than the sum of its proper divisors (15489483526721).

97657377375679 is a wasteful number, since it uses less digits than its factorization.

97657377375679 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651423.

The product of its digits is 77189508900, while the sum is 88.

The spelling of 97657377375679 in words is "ninety-seven trillion, six hundred fifty-seven billion, three hundred seventy-seven million, three hundred seventy-five thousand, six hundred seventy-nine".