97959504 has 80 divisors (see below), whose sum is σ = 267474944. Its totient is φ = 30844800.

The previous prime is 97959487. The next prime is 97959509. The reversal of 97959504 is 40595979.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97959509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63219 + ... + 64749.

Almost surely, 2^97959504 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 97959504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133737472).

97959504 is an abundant number, since it is smaller than the sum of its proper divisors (169515440).

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

97959504 is a wasteful number, since it uses less digits than its factorization.

97959504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The square root of 97959504 is about 9897.4493683979. The cubic root of 97959504 is about 460.9801156171.

The spelling of 97959504 in words is "ninety-seven million, nine hundred fifty-nine thousand, five hundred four".