972980 has 12 divisors (see below), whose sum is σ = 2043300. Its totient is φ = 389184.

The previous prime is 972977. The next prime is 972991. The reversal of 972980 is 89279.

It can be written as a sum of positive squares in 2 ways, for example, as 376996 + 595984 = 614^2 + 772^2 .

It is a super-3 number, since 3×972980³ = 2763331543282776000, which contains 333 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 972980.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24305 + ... + 24344.

It is an arithmetic number, because the mean of its divisors is an integer number (170275).

2⁹⁷²⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

972980 is an abundant number, since it is smaller than the sum of its proper divisors (1070320).

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

972980 is a wasteful number, since it uses less digits than its factorization.

972980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48658 (or 48656 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 972980 is about 986.3974858038. The cubic root of 972980 is about 99.0910973208.

The spelling of 972980 in words is "nine hundred seventy-two thousand, nine hundred eighty".