827164 has 12 divisors (see below), whose sum is σ = 1558984. Its totient is φ = 381744.

The previous prime is 827161. The next prime is 827213. The reversal of 827164 is 461728.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 8³ + 2¹¹ + 1 + 7⁷ + 6² + 4⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7902 + ... + 8005.

2⁸²⁷¹⁶⁴ is an apocalyptic number.

It is an amenable number.

827164 is a deficient number, since it is larger than the sum of its proper divisors (731820).

827164 is a wasteful number, since it uses less digits than its factorization.

827164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924 (or 15922 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 827164 is about 909.4855688795. The cubic root of 827164 is about 93.8708048584.

It can be divided in two parts, 8 and 27164, that added together give a palindrome (27172).

The spelling of 827164 in words is "eight hundred twenty-seven thousand, one hundred sixty-four".