972517740 has 192 divisors, whose sum is σ = 2972712960. Its totient is φ = 236839680.

The previous prime is 972517739. The next prime is 972517751. The reversal of 972517740 is 47715279.

It is a super-2 number, since 2×972517740² = 1891581509229415200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 972517692 and 972517701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5432971 + ... + 5433149.

It is an arithmetic number, because the mean of its divisors is an integer number (15482880).

Almost surely, 2^972517740 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 972517740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486356480).

972517740 is an abundant number, since it is smaller than the sum of its proper divisors (2000195220).

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

972517740 is a wasteful number, since it uses less digits than its factorization.

972517740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The square root of 972517740 is about 31185.2166899639. The cubic root of 972517740 is about 990.7540220318.

The spelling of 972517740 in words is "nine hundred seventy-two million, five hundred seventeen thousand, seven hundred forty".