97953152 has 64 divisors (see below), whose sum is σ = 216023760. Its totient is φ = 43868160.

The previous prime is 97953143. The next prime is 97953179. The reversal of 97953152 is 25135979.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102308 + ... + 103260.

Almost surely, 2^97953152 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 97953152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108011880).

97953152 is an abundant number, since it is smaller than the sum of its proper divisors (118070608).

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

97953152 is a wasteful number, since it uses less digits than its factorization.

97953152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its digits is 85050, while the sum is 41.

The square root of 97953152 is about 9897.1284724409. The cubic root of 97953152 is about 460.9701516052.

The spelling of 97953152 in words is "ninety-seven million, nine hundred fifty-three thousand, one hundred fifty-two".