97351824 has 80 divisors (see below), whose sum is σ = 265161600. Its totient is φ = 30716928.

The previous prime is 97351757. The next prime is 97351853. The reversal of 97351824 is 42815379.

It is a super-2 number, since 2×97351824² = 18954755272253952, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119932 + ... + 120740.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2^97351824 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 97351824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

97351824 is an abundant number, since it is smaller than the sum of its proper divisors (167809776).

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

97351824 is a wasteful number, since it uses less digits than its factorization.

97351824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 97351824 is about 9866.7027927267. The cubic root of 97351824 is about 460.0249261855.

The spelling of 97351824 in words is "ninety-seven million, three hundred fifty-one thousand, eight hundred twenty-four".