97355920 has 40 divisors (see below), whose sum is σ = 228612600. Its totient is φ = 38553600.

The previous prime is 97355911. The next prime is 97355963. The reversal of 97355920 is 2955379.

It can be written as a sum of positive squares in 4 ways, for example, as 41525136 + 55830784 = 6444^2 + 7472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2056 + ... + 14104.

It is an arithmetic number, because the mean of its divisors is an integer number (5715315).

Almost surely, 2^97355920 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 97355920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114306300).

97355920 is an abundant number, since it is smaller than the sum of its proper divisors (131256680).

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

97355920 is a wasteful number, since it uses less digits than its factorization.

97355920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12163 (or 12157 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 40.

The square root of 97355920 is about 9866.9103573510. The cubic root of 97355920 is about 460.0313778218.

The spelling of 97355920 in words is "ninety-seven million, three hundred fifty-five thousand, nine hundred twenty".