97477120 has 160 divisors (see below), whose sum is σ = 262951920. Its totient is φ = 34406400.

The previous prime is 97477117. The next prime is 97477139. The reversal of 97477120 is 2177479.

It can be written as a sum of positive squares in 8 ways, for example, as 52533504 + 44943616 = 7248^2 + 6704^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 97477120.

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 15 ways as a sum of consecutive naturals, for example, 965070 + ... + 965170.

Almost surely, 2^97477120 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 97477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131475960).

97477120 is an abundant number, since it is smaller than the sum of its proper divisors (165474800).

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

97477120 is a wasteful number, since it uses less digits than its factorization.

97477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The square root of 97477120 is about 9873.0501872522. The cubic root of 97477120 is about 460.2221988897. Note that the first 3 decimals are identical.

The spelling of 97477120 in words is "ninety-seven million, four hundred seventy-seven thousand, one hundred twenty".