97564500 has 288 divisors, whose sum is σ = 352969344. Its totient is φ = 23328000.

The previous prime is 97564469. The next prime is 97564603. The reversal of 97564500 is 546579.

97564500 is a `hidden beast` number, since 9 + 7 + 5 + 645 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1336464 + ... + 1336536.

It is an arithmetic number, because the mean of its divisors is an integer number (1225588).

Almost surely, 2^97564500 is an apocalyptic number.

97564500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176484672).

97564500 is an abundant number, since it is smaller than the sum of its proper divisors (255404844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97564500 is a wasteful number, since it uses less digits than its factorization.

97564500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 97564500 is about 9877.4743735431. The cubic root of 97564500 is about 460.3596745883.

The spelling of 97564500 in words is "ninety-seven million, five hundred sixty-four thousand, five hundred".