231006972 has 72 divisors (see below), whose sum is σ = 632016000. Its totient is φ = 65476320.

The previous prime is 231006929. The next prime is 231006973. The reversal of 231006972 is 279600132.

It is a super-2 number, since 2×231006972² = 106728442225217568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231006973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75529 + ... + 78527.

It is an arithmetic number, because the mean of its divisors is an integer number (8778000).

Almost surely, 2^231006972 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 231006972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316008000).

231006972 is an abundant number, since it is smaller than the sum of its proper divisors (401009028).

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

231006972 is a wasteful number, since it uses less digits than its factorization.

231006972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 231006972 is about 15198.9135138009. The cubic root of 231006972 is about 613.5854168832.

The spelling of 231006972 in words is "two hundred thirty-one million, six thousand, nine hundred seventy-two".