97638667 has 32 divisors (see below), whose sum is σ = 122332032. Its totient is φ = 76038144.

The previous prime is 97638649. The next prime is 97638691. The reversal of 97638667 is 76683679.

It is not a de Polignac number, because 97638667 - 2⁷ = 97638539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97638637) 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, 712623 + ... + 712759.

It is an arithmetic number, because the mean of its divisors is an integer number (3822876).

Almost surely, 2^97638667 is an apocalyptic number.

97638667 is a deficient number, since it is larger than the sum of its proper divisors (24693365).

97638667 is a wasteful number, since it uses less digits than its factorization.

97638667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its digits is 2286144, while the sum is 52.

The square root of 97638667 is about 9881.2280107282. The cubic root of 97638667 is about 460.4762977721.

The spelling of 97638667 in words is "ninety-seven million, six hundred thirty-eight thousand, six hundred sixty-seven".