97102564 has 48 divisors (see below), whose sum is σ = 190003968. Its totient is φ = 43135488.

The previous prime is 97102507. The next prime is 97102583. The reversal of 97102564 is 46520179.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163452 + ... + 164044.

It is an arithmetic number, because the mean of its divisors is an integer number (3958416).

Almost surely, 2^97102564 is an apocalyptic number.

97102564 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

97102564 is a deficient number, since it is larger than the sum of its proper divisors (92901404).

97102564 is a wasteful number, since it uses less digits than its factorization.

97102564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 97102564 is about 9854.0633243348. The cubic root of 97102564 is about 459.6319740680.

The spelling of 97102564 in words is "ninety-seven million, one hundred two thousand, five hundred sixty-four".