972002849 has 2 divisors, whose sum is σ = 972002850. Its totient is φ = 972002848.

The previous prime is 972002827. The next prime is 972002879. The reversal of 972002849 is 948200279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 950612224 + 21390625 = 30832^2 + 4625^2 .

It is a cyclic number.

It is not a de Polignac number, because 972002849 - 2⁸ = 972002593 is a prime.

It is a Chen prime.

972002849 is a modest number, since divided by 2849 gives 972 as remainder.

It is equal to p_49495613 and since 972002849 and 49495613 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (972002879) 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, 486001424 + 486001425.

It is an arithmetic number, because the mean of its divisors is an integer number (486001425).

Almost surely, 2^972002849 is an apocalyptic number.

It is an amenable number.

972002849 is a deficient number, since it is larger than the sum of its proper divisors (1).

972002849 is an equidigital number, since it uses as much as digits as its factorization.

972002849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 972002849 is about 31176.9602270651. The cubic root of 972002849 is about 990.5791424854.

The spelling of 972002849 in words is "nine hundred seventy-two million, two thousand, eight hundred forty-nine".