97772544 has 99 divisors (see below), whose sum is σ = 285083643. Its totient is φ = 32274432.

The previous prime is 97772527. The next prime is 97772551. The reversal of 97772544 is 44527779.

The square root of 97772544 is 9888.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 97772544.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 949197 + ... + 949299.

Almost surely, 2^97772544 is an apocalyptic number.

97772544 is the 9888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97772544

97772544 is an abundant number, since it is smaller than the sum of its proper divisors (187311099).

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

97772544 is a wasteful number, since it uses less digits than its factorization.

97772544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 108 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The cubic root of 97772544 is about 460.6866619405.

It can be divided in two parts, 9777 and 2544, that added together give a palindrome (12321).

The spelling of 97772544 in words is "ninety-seven million, seven hundred seventy-two thousand, five hundred forty-four".