97965504 has 336 divisors, whose sum is σ = 364845600. Its totient is φ = 25546752.

The previous prime is 97965499. The next prime is 97965521. The reversal of 97965504 is 40556979.

It is a happy number.

97965504 is a `hidden beast` number, since 9 + 7 + 96 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 97965504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100692 + ... + 1100780.

It is an arithmetic number, because the mean of its divisors is an integer number (1085850).

Almost surely, 2^97965504 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 97965504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182422800).

97965504 is an abundant number, since it is smaller than the sum of its proper divisors (266880096).

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

97965504 is a wasteful number, since it uses less digits than its factorization.

97965504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 97965504 is about 9897.7524721525. The cubic root of 97965504 is about 460.9895270715.

The spelling of 97965504 in words is "ninety-seven million, nine hundred sixty-five thousand, five hundred four".