7972009 has 2 divisors, whose sum is σ = 7972010. Its totient is φ = 7972008.

The previous prime is 7971973. The next prime is 7972033. The reversal of 7972009 is 9002797.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 1315609 = 2580^2 + 1147^2 .

It is a cyclic number.

It is not a de Polignac number, because 7972009 - 2⁷ = 7971881 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7972049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3986004 + 3986005.

It is an arithmetic number, because the mean of its divisors is an integer number (3986005).

Almost surely, 2^7972009 is an apocalyptic number.

It is an amenable number.

7972009 is a deficient number, since it is larger than the sum of its proper divisors (1).

7972009 is an equidigital number, since it uses as much as digits as its factorization.

7972009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 7972009 is about 2823.4746324343. The cubic root of 7972009 is about 199.7664690894.

The spelling of 7972009 in words is "seven million, nine hundred seventy-two thousand, nine".