97515264 has 288 divisors, whose sum is σ = 346139136. Its totient is φ = 23592960.

The previous prime is 97515263. The next prime is 97515269. The reversal of 97515264 is 46251579.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97515263) 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, 1005264 + ... + 1005360.

It is an arithmetic number, because the mean of its divisors is an integer number (1201872).

Almost surely, 2^97515264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173069568).

97515264 is an abundant number, since it is smaller than the sum of its proper divisors (248623872).

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

97515264 is a wasteful number, since it uses less digits than its factorization.

97515264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 97515264 is about 9874.9817215021. The cubic root of 97515264 is about 460.2822212699.

It can be divided in two parts, 97515 and 264, that added together give a palindrome (97779).

The spelling of 97515264 in words is "ninety-seven million, five hundred fifteen thousand, two hundred sixty-four".