872963 has 16 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 673920.

The previous prime is 872959. The next prime is 872999. The reversal of 872963 is 369278.

It is not a de Polignac number, because 872963 - 2² = 872959 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8⁵ + 7⁷ + 9⁴ + 2⁷ + 6⁵ + 3⁷ .

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

It is not an unprimeable number, because it can be changed into a prime (872923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4733 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

2⁸⁷²⁹⁶³ is an apocalyptic number.

872963 is a deficient number, since it is larger than the sum of its proper divisors (227773).

872963 is a wasteful number, since it uses less digits than its factorization.

872963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254.

The product of its digits is 18144, while the sum is 35.

The square root of 872963 is about 934.3248899607. The cubic root of 872963 is about 95.5722797381.

The spelling of 872963 in words is "eight hundred seventy-two thousand, nine hundred sixty-three".