97557152 has 144 divisors (see below), whose sum is σ = 256229568. Its totient is φ = 35512320.

The previous prime is 97557151. The next prime is 97557157. The reversal of 97557152 is 25175579.

It is a super-2 number, since 2×97557152² = 19034795812702208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97557151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 712028 + ... + 712164.

It is an arithmetic number, because the mean of its divisors is an integer number (1779372).

Almost surely, 2^97557152 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 97557152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128114784).

97557152 is an abundant number, since it is smaller than the sum of its proper divisors (158672416).

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

97557152 is a wasteful number, since it uses less digits than its factorization.

97557152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its digits is 110250, while the sum is 41.

The square root of 97557152 is about 9877.1024091076. The cubic root of 97557152 is about 460.3481170791.

The spelling of 97557152 in words is "ninety-seven million, five hundred fifty-seven thousand, one hundred fifty-two".