872253 has 12 divisors (see below), whose sum is σ = 1334268. Its totient is φ = 547200.

The previous prime is 872251. The next prime is 872257. The reversal of 872253 is 352278.

It can be written as a sum of positive squares in 2 ways, for example, as 710649 + 161604 = 843^2 + 402^2 .

It is not a de Polignac number, because 872253 - 2¹ = 872251 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2698 + ... + 3003.

It is an arithmetic number, because the mean of its divisors is an integer number (111189).

2⁸⁷²²⁵³ is an apocalyptic number.

It is an amenable number.

872253 is a deficient number, since it is larger than the sum of its proper divisors (462015).

872253 is a wasteful number, since it uses less digits than its factorization.

872253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5721 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 872253 is about 933.9448591860. The cubic root of 872253 is about 95.5463623650.

The spelling of 872253 in words is "eight hundred seventy-two thousand, two hundred fifty-three".