972944 has 60 divisors (see below), whose sum is σ = 2353644. Its totient is φ = 387072.

The previous prime is 972943. The next prime is 972967. The reversal of 972944 is 449279.

It can be written as a sum of positive squares in 2 ways, for example, as 659344 + 313600 = 812^2 + 560^2 .

Its product of digits (18144) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13292 + ... + 13364.

2⁹⁷²⁹⁴⁴ 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 972944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176822).

972944 is an abundant number, since it is smaller than the sum of its proper divisors (1380700).

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

972944 is a wasteful number, since it uses less digits than its factorization.

972944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 972944 is about 986.3792374133. The cubic root of 972944 is about 99.0898751910.

The spelling of 972944 in words is "nine hundred seventy-two thousand, nine hundred forty-four".