97952512 has 72 divisors (see below), whose sum is σ = 228404736. Its totient is φ = 41051136.

The previous prime is 97952507. The next prime is 97952539. The reversal of 97952512 is 21525979.

It is a super-2 number, since 2×97952512² = 19189389214220288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83643 + ... + 84805.

It is an arithmetic number, because the mean of its divisors is an integer number (3172288).

Almost surely, 2^97952512 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 97952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114202368).

97952512 is an abundant number, since it is smaller than the sum of its proper divisors (130452224).

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

97952512 is a wasteful number, since it uses less digits than its factorization.

97952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1219 counting only the distinct ones).

The product of its digits is 56700, while the sum is 40.

The square root of 97952512 is about 9897.0961397776. The cubic root of 97952512 is about 460.9691476507.

The spelling of 97952512 in words is "ninety-seven million, nine hundred fifty-two thousand, five hundred twelve".