97923264 has 112 divisors (see below), whose sum is σ = 288950400. Its totient is φ = 29085696.

The previous prime is 97923257. The next prime is 97923269. The reversal of 97923264 is 46232979.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (97923269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61227 + ... + 62805.

Almost surely, 2^97923264 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 97923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144475200).

97923264 is an abundant number, since it is smaller than the sum of its proper divisors (191027136).

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

97923264 is a wasteful number, since it uses less digits than its factorization.

97923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1620 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 97923264 is about 9895.6184243331. The cubic root of 97923264 is about 460.9232622602.

The spelling of 97923264 in words is "ninety-seven million, nine hundred twenty-three thousand, two hundred sixty-four".