972261300 has 72 divisors (see below), whose sum is σ = 2816444736. Its totient is φ = 258959360.

The previous prime is 972261299. The next prime is 972261319. The reversal of 972261300 is 3162279.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 363769 + ... + 366431.

It is an arithmetic number, because the mean of its divisors is an integer number (39117288).

Almost surely, 2^972261300 is an apocalyptic number.

It is an amenable number.

972261300 is an abundant number, since it is smaller than the sum of its proper divisors (1844183436).

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

972261300 is a wasteful number, since it uses less digits than its factorization.

972261300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 972261300 is about 31181.1048553447. The cubic root of 972261300 is about 990.6669314881. Note that the first 3 decimals are identical.

The spelling of 972261300 in words is "nine hundred seventy-two million, two hundred sixty-one thousand, three hundred".