97633008 has 60 divisors (see below), whose sum is σ = 298081368. Its totient is φ = 29585280.

The previous prime is 97633007. The next prime is 97633021. The reversal of 97633008 is 80033679.

It is a super-2 number, since 2×97633008² = 19064408502256128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97633007) 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 11 ways as a sum of consecutive naturals, for example, 29235 + ... + 32402.

Almost surely, 2^97633008 is an apocalyptic number.

It is an amenable number.

97633008 is an abundant number, since it is smaller than the sum of its proper divisors (200448360).

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

97633008 is a wasteful number, since it uses less digits than its factorization.

97633008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61662 (or 61653 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 97633008 is about 9880.9416555306. The cubic root of 97633008 is about 460.4674014138.

The spelling of 97633008 in words is "ninety-seven million, six hundred thirty-three thousand, eight".