972701600 has 72 divisors (see below), whose sum is σ = 2557297260. Its totient is φ = 359147520.

The previous prime is 972701591. The next prime is 972701603. The reversal of 972701600 is 6107279.

It can be written as a sum of positive squares in 6 ways, for example, as 166823056 + 805878544 = 12916^2 + 28388^2 .

It is a super-2 number, since 2×972701600² = 1892296805285120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (972701603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36365 + ... + 57164.

Almost surely, 2^972701600 is an apocalyptic number.

It is an amenable number.

972701600 is an abundant number, since it is smaller than the sum of its proper divisors (1584595660).

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

972701600 is a wasteful number, since it uses less digits than its factorization.

972701600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93562 (or 93549 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 972701600 is about 31188.1644217803. The cubic root of 972701600 is about 990.8164539885.

Adding to 972701600 its reverse (6107279), we get a palindrome (978808879).

The spelling of 972701600 in words is "nine hundred seventy-two million, seven hundred one thousand, six hundred".