972097632 has 192 divisors, whose sum is σ = 3200601600. Its totient is φ = 284336640.

The previous prime is 972097631. The next prime is 972097639. The reversal of 972097632 is 236790279.

It is a happy number.

972097632 is a `hidden beast` number, since 9 + 7 + 2 + 0 + 9 + 7 + 632 = 666.

It is a super-2 number, since 2×972097632² = 1889947612280014848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972097631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273853 + ... + 277379.

It is an arithmetic number, because the mean of its divisors is an integer number (16669800).

Almost surely, 2^972097632 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 972097632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600300800).

972097632 is an abundant number, since it is smaller than the sum of its proper divisors (2228503968).

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

972097632 is a wasteful number, since it uses less digits than its factorization.

972097632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 972097632 is about 31178.4802708535. The cubic root of 972097632 is about 990.6113395828.

The spelling of 972097632 in words is "nine hundred seventy-two million, ninety-seven thousand, six hundred thirty-two".