7872929 has 2 divisors, whose sum is σ = 7872930. Its totient is φ = 7872928.

The previous prime is 7872919. The next prime is 7872937. The reversal of 7872929 is 9292787.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6492304 + 1380625 = 2548^2 + 1175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7872929 is a prime.

It is a super-2 number, since 2×7872929² = 123966022078082, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 7872929.

It is not a weakly prime, because it can be changed into another prime (7872919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3936464 + 3936465.

It is an arithmetic number, because the mean of its divisors is an integer number (3936465).

Almost surely, 2^7872929 is an apocalyptic number.

It is an amenable number.

7872929 is a deficient number, since it is larger than the sum of its proper divisors (1).

7872929 is an equidigital number, since it uses as much as digits as its factorization.

7872929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 127008, while the sum is 44.

The square root of 7872929 is about 2805.8740171291. The cubic root of 7872929 is about 198.9354183843.

The spelling of 7872929 in words is "seven million, eight hundred seventy-two thousand, nine hundred twenty-nine".