97165824 has 120 divisors (see below), whose sum is σ = 301351248. Its totient is φ = 27740160.

The previous prime is 97165787. The next prime is 97165891. The reversal of 97165824 is 42856179.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74619 + ... + 75909.

Almost surely, 2^97165824 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 97165824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150675624).

97165824 is an abundant number, since it is smaller than the sum of its proper divisors (204185424).

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

97165824 is a wasteful number, since it uses less digits than its factorization.

97165824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1303 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 97165824 is about 9857.2726451083. The cubic root of 97165824 is about 459.7317654830.

It can be divided in two parts, 971 and 65824, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 97165824 in words is "ninety-seven million, one hundred sixty-five thousand, eight hundred twenty-four".