972038321 has 2 divisors, whose sum is σ = 972038322. Its totient is φ = 972038320.

The previous prime is 972038299. The next prime is 972038381. The reversal of 972038321 is 123830279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 942183025 + 29855296 = 30695^2 + 5464^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972038321 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (972038381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486019160 + 486019161.

It is an arithmetic number, because the mean of its divisors is an integer number (486019161).

Almost surely, 2^972038321 is an apocalyptic number.

It is an amenable number.

972038321 is a deficient number, since it is larger than the sum of its proper divisors (1).

972038321 is an equidigital number, since it uses as much as digits as its factorization.

972038321 is an odious number, because the sum of its binary digits is odd.

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

The square root of 972038321 is about 31177.5291035066. The cubic root of 972038321 is about 990.5911923115.

The spelling of 972038321 in words is "nine hundred seventy-two million, thirty-eight thousand, three hundred twenty-one".