972998208 has 336 divisors, whose sum is σ = 3616878720. Its totient is φ = 242860032.

The previous prime is 972998203. The next prime is 972998231. The reversal of 972998208 is 802899279.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×972998208² = 1893451025542422528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (972998203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995416 + ... + 996392.

It is an arithmetic number, because the mean of its divisors is an integer number (10764520).

Almost surely, 2^972998208 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 972998208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808439360).

972998208 is an abundant number, since it is smaller than the sum of its proper divisors (2643880512).

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

972998208 is a wasteful number, since it uses less digits than its factorization.

972998208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 972998208 is about 31192.9191965100. The cubic root of 972998208 is about 990.9171543541.

The spelling of 972998208 in words is "nine hundred seventy-two million, nine hundred ninety-eight thousand, two hundred eight".