97516401 has 16 divisors (see below), whose sum is σ = 131740224. Its totient is φ = 64157184.

The previous prime is 97516381. The next prime is 97516427. The reversal of 97516401 is 10461579.

It is not a de Polignac number, because 97516401 - 2⁹ = 97515889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97516501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103605 + ... + 104541.

It is an arithmetic number, because the mean of its divisors is an integer number (8233764).

Almost surely, 2^97516401 is an apocalyptic number.

It is an amenable number.

97516401 is a deficient number, since it is larger than the sum of its proper divisors (34223823).

97516401 is a wasteful number, since it uses less digits than its factorization.

97516401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 97516401 is about 9875.0392910611. The cubic root of 97516401 is about 460.2840101825.

The spelling of 97516401 in words is "ninety-seven million, five hundred sixteen thousand, four hundred one".