872567 has 2 divisors, whose sum is σ = 872568. Its totient is φ = 872566.

The previous prime is 872563. The next prime is 872587. The reversal of 872567 is 765278.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 872567 - 2² = 872563 is a prime.

It is a super-2 number, since 2×872567² = 1522746338978, which contains 22 as substring.

It is a Chen prime.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872567.

It is not a weakly prime, because it can be changed into another prime (872561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436283 + 436284.

It is an arithmetic number, because the mean of its divisors is an integer number (436284).

2⁸⁷²⁵⁶⁷ is an apocalyptic number.

872567 is a deficient number, since it is larger than the sum of its proper divisors (1).

872567 is an equidigital number, since it uses as much as digits as its factorization.

872567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23520, while the sum is 35.

The square root of 872567 is about 934.1129482027. The cubic root of 872567 is about 95.5578261484.

The spelling of 872567 in words is "eight hundred seventy-two thousand, five hundred sixty-seven".