97653952 has 112 divisors (see below), whose sum is σ = 227941632. Its totient is φ = 41057280.

The previous prime is 97653949. The next prime is 97653953. The reversal of 97653952 is 25935679.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (97653953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599023 + ... + 599185.

Almost surely, 2^97653952 is an apocalyptic number.

97653952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113970816).

97653952 is an abundant number, since it is smaller than the sum of its proper divisors (130287680).

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

97653952 is a wasteful number, since it uses less digits than its factorization.

97653952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its digits is 510300, while the sum is 46.

The square root of 97653952 is about 9882.0014167172. The cubic root of 97653952 is about 460.5003251825.

The spelling of 97653952 in words is "ninety-seven million, six hundred fifty-three thousand, nine hundred fifty-two".