97415136 has 360 divisors, whose sum is σ = 364989240. Its totient is φ = 25256448.

The previous prime is 97415111. The next prime is 97415141. The reversal of 97415136 is 63151479.

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

Its product of digits (22680) is a multiple of the sum of its prime divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 97415136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1651075 + ... + 1651133.

It is an arithmetic number, because the mean of its divisors is an integer number (1013859).

Almost surely, 2^97415136 is an apocalyptic number.

97415136 is a gapful number since it is divisible by the number (96) 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 97415136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182494620).

97415136 is an abundant number, since it is smaller than the sum of its proper divisors (267574104).

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

97415136 is a wasteful number, since it uses less digits than its factorization.

97415136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 97415136 is about 9869.9106378933. The cubic root of 97415136 is about 460.1246291168.

It can be divided in two parts, 974 and 15136, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 97415136 in words is "ninety-seven million, four hundred fifteen thousand, one hundred thirty-six".