872801 has 4 divisors (see below), whose sum is σ = 875952. Its totient is φ = 869652.

The previous prime is 872791. The next prime is 872843. The reversal of 872801 is 108278.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 108278 = 2 ⋅54139.

It is a cyclic number.

It is not a de Polignac number, because 872801 - 2⁶ = 872737 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872801.

It is not an unprimeable number, because it can be changed into a prime (832801) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1115 + ... + 1728.

It is an arithmetic number, because the mean of its divisors is an integer number (218988).

2⁸⁷²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

872801 is a deficient number, since it is larger than the sum of its proper divisors (3151).

872801 is a wasteful number, since it uses less digits than its factorization.

872801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150.

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 872801 is about 934.2381923257. The cubic root of 872801 is about 95.5663674343.

The spelling of 872801 in words is "eight hundred seventy-two thousand, eight hundred one".