827172 has 72 divisors (see below), whose sum is σ = 2323776. Its totient is φ = 256608.

The previous prime is 827161. The next prime is 827213. The reversal of 827172 is 271728.

827172 is nontrivially palindromic in base 11.

827172 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 (27).

It is an unprimeable number.

827172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22338 + ... + 22374.

2⁸²⁷¹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161888).

827172 is an abundant number, since it is smaller than the sum of its proper divisors (1496604).

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

827172 is a wasteful number, since it uses less digits than its factorization.

827172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 827172 is about 909.4899669595. The cubic root of 827172 is about 93.8711074844.

It can be divided in two parts, 827 and 172, that added together give a palindrome (999).

The spelling of 827172 in words is "eight hundred twenty-seven thousand, one hundred seventy-two".