97513920 has 252 divisors, whose sum is σ = 390732264. Its totient is φ = 22256640.

The previous prime is 97513901. The next prime is 97513937. The reversal of 97513920 is 2931579.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140775 + ... + 141465.

Almost surely, 2^97513920 is an apocalyptic number.

97513920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195366132).

97513920 is an abundant number, since it is smaller than the sum of its proper divisors (293218344).

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

97513920 is a wasteful number, since it uses less digits than its factorization.

97513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 97513920 is about 9874.9136705087. The cubic root of 97513920 is about 460.2801066534.

The spelling of 97513920 in words is "ninety-seven million, five hundred thirteen thousand, nine hundred twenty".