7972589 has 2 divisors, whose sum is σ = 7972590. Its totient is φ = 7972588.

The previous prime is 7972583. The next prime is 7972603. The reversal of 7972589 is 9852797.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7606564 + 366025 = 2758^2 + 605^2 .

It is a cyclic number.

It is not a de Polignac number, because 7972589 - 2²⁰ = 6924013 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 7⁵ + 9⁶ + 7⁵ + 2¹⁹ + 5⁵ + 8⁷ + 9⁷ .

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7972583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3986294 + 3986295.

It is an arithmetic number, because the mean of its divisors is an integer number (3986295).

Almost surely, 2^7972589 is an apocalyptic number.

It is an amenable number.

7972589 is a deficient number, since it is larger than the sum of its proper divisors (1).

7972589 is an equidigital number, since it uses as much as digits as its factorization.

7972589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 317520, while the sum is 47.

The square root of 7972589 is about 2823.5773408922. The cubic root of 7972589 is about 199.7713136123.

The spelling of 7972589 in words is "seven million, nine hundred seventy-two thousand, five hundred eighty-nine".