97185920 has 64 divisors (see below), whose sum is σ = 250228440. Its totient is φ = 35880960.

The previous prime is 97185919. The next prime is 97185943. The reversal of 97185920 is 2958179.

It can be written as a sum of positive squares in 4 ways, for example, as 61089856 + 36096064 = 7816^2 + 6008^2 .

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2480 + ... + 14160.

Almost surely, 2^97185920 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 97185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125114220).

97185920 is an abundant number, since it is smaller than the sum of its proper divisors (153042520).

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

97185920 is a wasteful number, since it uses less digits than its factorization.

97185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11713 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 97185920 is about 9858.2919413050. The cubic root of 97185920 is about 459.7634574653.

The spelling of 97185920 in words is "ninety-seven million, one hundred eighty-five thousand, nine hundred twenty".