9975300 has 72 divisors (see below), whose sum is σ = 29602272. Its totient is φ = 2592000.

The previous prime is 9975299. The next prime is 9975319. The reversal of 9975300 is 35799.

It is a super-2 number, since 2×9975300² = 199013220180000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11895 + ... + 12705.

Almost surely, 2^9975300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9975300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14801136).

9975300 is an abundant number, since it is smaller than the sum of its proper divisors (19626972).

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

9975300 is a wasteful number, since it uses less digits than its factorization.

9975300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 9975300 is about 3158.3698326827. The cubic root of 9975300 is about 215.2659409686.

The spelling of 9975300 in words is "nine million, nine hundred seventy-five thousand, three hundred".