872753 has 4 divisors (see below), whose sum is σ = 997440. Its totient is φ = 748068.

The previous prime is 872749. The next prime is 872761. The reversal of 872753 is 357278.

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: 357278 = 2 ⋅178639.

It is a cyclic number.

It is not a de Polignac number, because 872753 - 2² = 872749 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (872353) 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, 62333 + ... + 62346.

It is an arithmetic number, because the mean of its divisors is an integer number (249360).

2⁸⁷²⁷⁵³ is an apocalyptic number.

It is an amenable number.

872753 is a deficient number, since it is larger than the sum of its proper divisors (124687).

872753 is a wasteful number, since it uses less digits than its factorization.

872753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124686.

The product of its digits is 11760, while the sum is 32.

The square root of 872753 is about 934.2125025924. The cubic root of 872753 is about 95.5646155002.

It can be divided in two parts, 87275 and 3, that added together give a palindrome (87278).

The spelling of 872753 in words is "eight hundred seventy-two thousand, seven hundred fifty-three".