861327 has 32 divisors (see below), whose sum is σ = 1420800. Its totient is φ = 513216.

The previous prime is 861317. The next prime is 861347. The reversal of 861327 is 723168.

861327 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 861327 - 2⁷ = 861199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

861327 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 861327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11763 + ... + 11835.

It is an arithmetic number, because the mean of its divisors is an integer number (44400).

861327 is a Friedman number, since it can be written as (23*(8^6-1))/7, using all its digits and the basic arithmetic operations.

2⁸⁶¹³²⁷ is an apocalyptic number.

861327 is a deficient number, since it is larger than the sum of its proper divisors (559473).

861327 is a wasteful number, since it uses less digits than its factorization.

861327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 861327 is about 928.0770442156. The cubic root of 861327 is about 95.1457412137.

The spelling of 861327 in words is "eight hundred sixty-one thousand, three hundred twenty-seven".