9972588 has 24 divisors (see below), whose sum is σ = 23353792. Its totient is φ = 3312144.

The previous prime is 9972583. The next prime is 9972617. The reversal of 9972588 is 8852799.

It is a happy number.

It is a super-2 number, since 2×9972588² = 198905022835488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9972581) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2331 + ... + 5037.

Almost surely, 2^9972588 is an apocalyptic number.

It is an amenable number.

9972588 is an abundant number, since it is smaller than the sum of its proper divisors (13381204).

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

9972588 is a wasteful number, since it uses less digits than its factorization.

9972588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 3019 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 9972588 is about 3157.9404680899. The cubic root of 9972588 is about 215.2464309741.

The spelling of 9972588 in words is "nine million, nine hundred seventy-two thousand, five hundred eighty-eight".