97665120 has 144 divisors (see below), whose sum is σ = 380933280. Its totient is φ = 22321152.

The previous prime is 97665103. The next prime is 97665131. The reversal of 97665120 is 2156679.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×97665120² = 19076951329228800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5236 + ... + 14924.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^97665120 is an apocalyptic number.

97665120 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 97665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

97665120 is an abundant number, since it is smaller than the sum of its proper divisors (283268160).

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

97665120 is a wasteful number, since it uses less digits than its factorization.

97665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9717 (or 9706 counting only the distinct ones).

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

The square root of 97665120 is about 9882.5664682814. The cubic root of 97665120 is about 460.5178792480.

The spelling of 97665120 in words is "ninety-seven million, six hundred sixty-five thousand, one hundred twenty".