972820 has 24 divisors (see below), whose sum is σ = 2064384. Its totient is φ = 385056.

The previous prime is 972799. The next prime is 972823. The reversal of 972820 is 28279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2349 + ... + 2731.

It is an arithmetic number, because the mean of its divisors is an integer number (86016).

2⁹⁷²⁸²⁰ is an apocalyptic number.

It is an amenable number.

972820 is an abundant number, since it is smaller than the sum of its proper divisors (1091564).

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

972820 is a wasteful number, since it uses less digits than its factorization.

972820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 972820 is about 986.3163792617. The cubic root of 972820 is about 99.0856654021.

The spelling of 972820 in words is "nine hundred seventy-two thousand, eight hundred twenty".