97693456 has 45 divisors (see below), whose sum is σ = 220809621. Its totient is φ = 41750016.

The previous prime is 97693451. The next prime is 97693481. The reversal of 97693456 is 65439679.

The square root of 97693456 is 9884.

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

It can be written as a sum of positive squares in only one way, i.e., 39690000 + 58003456 = 6300^2 + 7616^2 .

It is a super-2 number, since 2×97693456² = 19088022690447872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97693451) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 276576 + ... + 276928.

Almost surely, 2^97693456 is an apocalyptic number.

97693456 is the 9884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97693456

97693456 is an abundant number, since it is smaller than the sum of its proper divisors (123116165).

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

97693456 is an equidigital number, since it uses as much as digits as its factorization.

97693456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 362 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 49.

The cubic root of 97693456 is about 460.5624122836.

Multiplying 97693456 by its sum of digits (49), we get a square (4786979344 = 69188²).

97693456 divided by its sum of digits (49) gives a square (1993744 = 1412²).

It can be divided in two parts, 9769 and 3456, that added together give a square (13225 = 115²).

The spelling of 97693456 in words is "ninety-seven million, six hundred ninety-three thousand, four hundred fifty-six".