827964 has 36 divisors (see below), whose sum is σ = 2122120. Its totient is φ = 272160.

The previous prime is 827941. The next prime is 827969. The reversal of 827964 is 469728.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3819 + ... + 4029.

2⁸²⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

827964 is an abundant number, since it is smaller than the sum of its proper divisors (1294156).

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

827964 is a wasteful number, since it uses less digits than its factorization.

827964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 827964 is about 909.9252716570. The cubic root of 827964 is about 93.9010578057.

It can be divided in two parts, 8 and 27964, that added together give a palindrome (27972).

The spelling of 827964 in words is "eight hundred twenty-seven thousand, nine hundred sixty-four".