872767 has 8 divisors (see below), whose sum is σ = 1022112. Its totient is φ = 729600.

The previous prime is 872761. The next prime is 872789. The reversal of 872767 is 767278.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 872767 - 2¹⁵ = 839999 is a prime.

It is an Ulam number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1234 + ... + 1807.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

2⁸⁷²⁷⁶⁷ is an apocalyptic number.

872767 is a deficient number, since it is larger than the sum of its proper divisors (149345).

872767 is a wasteful number, since it uses less digits than its factorization.

872767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089.

The product of its digits is 32928, while the sum is 37.

The square root of 872767 is about 934.2199955043. The cubic root of 872767 is about 95.5651264876.

The spelling of 872767 in words is "eight hundred seventy-two thousand, seven hundred sixty-seven".