972131220 has 144 divisors (see below), whose sum is σ = 3072521088. Its totient is φ = 258007680.

The previous prime is 972131189. The next prime is 972131231. The reversal of 972131220 is 22131279.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540305 + ... + 1540935.

It is an arithmetic number, because the mean of its divisors is an integer number (21336952).

Almost surely, 2^972131220 is an apocalyptic number.

972131220 is a gapful number since it is divisible by the number (90) 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 972131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536260544).

972131220 is an abundant number, since it is smaller than the sum of its proper divisors (2100389868).

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

972131220 is a wasteful number, since it uses less digits than its factorization.

972131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 972131220 is about 31179.0189069509. The cubic root of 972131220 is about 990.6227486805.

Adding to 972131220 its reverse (22131279), we get a palindrome (994262499).

The spelling of 972131220 in words is "nine hundred seventy-two million, one hundred thirty-one thousand, two hundred twenty".