872407117 has 2 divisors, whose sum is σ = 872407118. Its totient is φ = 872407116.

The previous prime is 872407111. The next prime is 872407147. The reversal of 872407117 is 711704278.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 465739561 + 406667556 = 21581^2 + 20166^2 .

It is a cyclic number.

It is not a de Polignac number, because 872407117 - 2⁷ = 872406989 is a prime.

It is a super-2 number, since 2×872407117² = 1522188355584503378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (872407111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436203558 + 436203559.

It is an arithmetic number, because the mean of its divisors is an integer number (436203559).

Almost surely, 2^872407117 is an apocalyptic number.

It is an amenable number.

872407117 is a deficient number, since it is larger than the sum of its proper divisors (1).

872407117 is an equidigital number, since it uses as much as digits as its factorization.

872407117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21952, while the sum is 37.

The square root of 872407117 is about 29536.5386766967. The cubic root of 872407117 is about 955.5198934535.

The spelling of 872407117 in words is "eight hundred seventy-two million, four hundred seven thousand, one hundred seventeen".