817872 has 40 divisors (see below), whose sum is σ = 2306400. Its totient is φ = 247680.

The previous prime is 817871. The next prime is 817877. The reversal of 817872 is 278718.

817872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817871) 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, 247 + ... + 1302.

It is an arithmetic number, because the mean of its divisors is an integer number (57660).

2⁸¹⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

817872 is an abundant number, since it is smaller than the sum of its proper divisors (1488528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

817872 is a wasteful number, since it uses less digits than its factorization.

817872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1565 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 817872 is about 904.3627590740. The cubic root of 817872 is about 93.5179791367.

The spelling of 817872 in words is "eight hundred seventeen thousand, eight hundred seventy-two".