972801900 has 648 divisors, whose sum is σ = 3962038080. Its totient is φ = 205752960.

The previous prime is 972801883. The next prime is 972801923. The reversal of 972801900 is 9108279.

It is a happy number.

It is a super-2 number, since 2×972801900² = 1892687073287220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 22623279 + ... + 22623321.

Almost surely, 2^972801900 is an apocalyptic number.

972801900 is a gapful number since it is divisible by the number (90) 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 972801900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981019040).

972801900 is an abundant number, since it is smaller than the sum of its proper divisors (2989236180).

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

972801900 is a wasteful number, since it uses less digits than its factorization.

972801900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 972801900 is about 31189.7723621061. The cubic root of 972801900 is about 990.8505087883.

The spelling of 972801900 in words is "nine hundred seventy-two million, eight hundred one thousand, nine hundred".