97653924 has 81 divisors (see below), whose sum is σ = 260599521. Its totient is φ = 32017680.

The previous prime is 97653917. The next prime is 97653943. The reversal of 97653924 is 42935679.

It is a happy number.

The square root of 97653924 is 9882.

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

97653924 is a `hidden beast` number, since 97 + 6 + 539 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3175524 + 94478400 = 1782^2 + 9720^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 97653924.

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 26 ways as a sum of consecutive naturals, for example, 1600854 + ... + 1600914.

Almost surely, 2^97653924 is an apocalyptic number.

97653924 is the 9882-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97653924

97653924 is an abundant number, since it is smaller than the sum of its proper divisors (162945597).

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

97653924 is an frugal number, since it uses more digits than its factorization.

97653924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 66 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The cubic root of 97653924 is about 460.5002811699.

It can be divided in two parts, 9765 and 3924, that added together give a square (13689 = 117²).

The spelling of 97653924 in words is "ninety-seven million, six hundred fifty-three thousand, nine hundred twenty-four".