872609 has 2 divisors, whose sum is σ = 872610. Its totient is φ = 872608.

The previous prime is 872587. The next prime is 872611. The reversal of 872609 is 906278.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760384 + 112225 = 872^2 + 335^2 .

It is a cyclic number.

It is not a de Polignac number, because 872609 - 2⁸ = 872353 is a prime.

It is a super-3 number, since 3×872609³ = 1993335120055687587, which contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 872611, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (872659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436304 + 436305.

It is an arithmetic number, because the mean of its divisors is an integer number (436305).

2⁸⁷²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

872609 is a deficient number, since it is larger than the sum of its proper divisors (1).

872609 is an equidigital number, since it uses as much as digits as its factorization.

872609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 872609 is about 934.1354291536. The cubic root of 872609 is about 95.5593593122.

The spelling of 872609 in words is "eight hundred seventy-two thousand, six hundred nine".