972042013 has 2 divisors, whose sum is σ = 972042014. Its totient is φ = 972042012.

The previous prime is 972041999. The next prime is 972042083. The reversal of 972042013 is 310240279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 953697924 + 18344089 = 30882^2 + 4283^2 .

It is a cyclic number.

It is not a de Polignac number, because 972042013 - 2¹⁷ = 971910941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972042083) 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 as a sum of consecutive naturals, namely, 486021006 + 486021007.

It is an arithmetic number, because the mean of its divisors is an integer number (486021007).

Almost surely, 2^972042013 is an apocalyptic number.

It is an amenable number.

972042013 is a deficient number, since it is larger than the sum of its proper divisors (1).

972042013 is an equidigital number, since it uses as much as digits as its factorization.

972042013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 972042013 is about 31177.5883127608. The cubic root of 972042013 is about 990.5924464658.

The spelling of 972042013 in words is "nine hundred seventy-two million, forty-two thousand, thirteen".