872907121 has 2 divisors, whose sum is σ = 872907122. Its totient is φ = 872907120.

The previous prime is 872907107. The next prime is 872907127. The reversal of 872907121 is 121709278.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 594384400 + 278522721 = 24380^2 + 16689^2 .

It is a cyclic number.

It is not a de Polignac number, because 872907121 - 2⁹ = 872906609 is a prime.

It is equal to p_44695018 and since 872907121 and 44695018 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (872907127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436453560 + 436453561.

It is an arithmetic number, because the mean of its divisors is an integer number (436453561).

Almost surely, 2^872907121 is an apocalyptic number.

It is an amenable number.

872907121 is a deficient number, since it is larger than the sum of its proper divisors (1).

872907121 is an equidigital number, since it uses as much as digits as its factorization.

872907121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14112, while the sum is 37.

The square root of 872907121 is about 29545.0016246403. The cubic root of 872907121 is about 955.7024047737.

The spelling of 872907121 in words is "eight hundred seventy-two million, nine hundred seven thousand, one hundred twenty-one".