972088804249 has 2 divisors, whose sum is σ = 972088804250. Its totient is φ = 972088804248.

The previous prime is 972088804117. The next prime is 972088804259. The reversal of 972088804249 is 942408880279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 901916794249 + 70172010000 = 949693^2 + 264900^2 .

It is a cyclic number.

It is not a de Polignac number, because 972088804249 - 2¹⁷ = 972088673177 is a prime.

It is not a weakly prime, because it can be changed into another prime (972088804259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486044402124 + 486044402125.

It is an arithmetic number, because the mean of its divisors is an integer number (486044402125).

Almost surely, 2^972088804249 is an apocalyptic number.

It is an amenable number.

972088804249 is a deficient number, since it is larger than the sum of its proper divisors (1).

972088804249 is an equidigital number, since it uses as much as digits as its factorization.

972088804249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18579456, while the sum is 61.

The spelling of 972088804249 in words is "nine hundred seventy-two billion, eighty-eight million, eight hundred four thousand, two hundred forty-nine".