872563 has 2 divisors, whose sum is σ = 872564. Its totient is φ = 872562.

The previous prime is 872561. The next prime is 872567. The reversal of 872563 is 365278.

872563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 872563 - 2¹ = 872561 is a prime.

It is a super-2 number, since 2×872563² = 1522732377938, which contains 22 as substring.

Together with 872561, it forms a pair of twin primes.

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

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436281 + 436282.

It is an arithmetic number, because the mean of its divisors is an integer number (436282).

2⁸⁷²⁵⁶³ is an apocalyptic number.

872563 is a deficient number, since it is larger than the sum of its proper divisors (1).

872563 is an equidigital number, since it uses as much as digits as its factorization.

872563 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 31.

The square root of 872563 is about 934.1108071316. The cubic root of 872563 is about 95.5576801302.

The spelling of 872563 in words is "eight hundred seventy-two thousand, five hundred sixty-three".