972800933 has 8 divisors (see below), whose sum is σ = 1049188728. Its totient is φ = 896635584.

The previous prime is 972800923. The next prime is 972800947. The reversal of 972800933 is 339008279.

It can be written as a sum of positive squares in 4 ways, for example, as 354681889 + 618119044 = 18833^2 + 24862^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 972800933 - 2⁶ = 972800869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972800923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46466 + ... + 64067.

It is an arithmetic number, because the mean of its divisors is an integer number (131148591).

Almost surely, 2^972800933 is an apocalyptic number.

It is an amenable number.

972800933 is a deficient number, since it is larger than the sum of its proper divisors (76387795).

972800933 is a wasteful number, since it uses less digits than its factorization.

972800933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111223.

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 972800933 is about 31189.7568602258. The cubic root of 972800933 is about 990.8501804745.

The spelling of 972800933 in words is "nine hundred seventy-two million, eight hundred thousand, nine hundred thirty-three".