972280361 has 8 divisors (see below), whose sum is σ = 1083177480. Its totient is φ = 866541312.

The previous prime is 972280333. The next prime is 972280367. The reversal of 972280361 is 163082279.

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 972254761 = 160^2 + 31181^2 .

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

It is not a de Polignac number, because 972280361 - 2²² = 968086057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972280367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1289120 + ... + 1289873.

It is an arithmetic number, because the mean of its divisors is an integer number (135397185).

Almost surely, 2^972280361 is an apocalyptic number.

It is an amenable number.

972280361 is a deficient number, since it is larger than the sum of its proper divisors (110897119).

972280361 is a wasteful number, since it uses less digits than its factorization.

972280361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579035.

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 972280361 is about 31181.4105036959. The cubic root of 972280361 is about 990.6734053921.

The spelling of 972280361 in words is "nine hundred seventy-two million, two hundred eighty thousand, three hundred sixty-one".