817732972 has 72 divisors (see below), whose sum is σ = 1708511616. Its totient is φ = 341332992.

The previous prime is 817732957. The next prime is 817732991. The reversal of 817732972 is 279237718.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2316348 + ... + 2316700.

It is an arithmetic number, because the mean of its divisors is an integer number (23729328).

Almost surely, 2^817732972 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 817732972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854255808).

817732972 is an abundant number, since it is smaller than the sum of its proper divisors (890778644).

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

817732972 is a wasteful number, since it uses less digits than its factorization.

817732972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its digits is 296352, while the sum is 46.

The square root of 817732972 is about 28596.0307035784. The cubic root of 817732972 is about 935.1267987453.

The spelling of 817732972 in words is "eight hundred seventeen million, seven hundred thirty-two thousand, nine hundred seventy-two".