972819132 has 48 divisors (see below), whose sum is σ = 2377589760. Its totient is φ = 308997568.

The previous prime is 972819103. The next prime is 972819137. The reversal of 972819132 is 231918279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972819137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67693 + ... + 80795.

It is an arithmetic number, because the mean of its divisors is an integer number (49533120).

Almost surely, 2^972819132 is an apocalyptic number.

972819132 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972819132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188794880).

972819132 is an abundant number, since it is smaller than the sum of its proper divisors (1404770628).

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

972819132 is a wasteful number, since it uses less digits than its factorization.

972819132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13402 (or 13400 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 972819132 is about 31190.0486052843. The cubic root of 972819132 is about 990.8563593234.

The spelling of 972819132 in words is "nine hundred seventy-two million, eight hundred nineteen thousand, one hundred thirty-two".