820964 has 12 divisors (see below), whose sum is σ = 1521324. Its totient is φ = 386304.

The previous prime is 820957. The next prime is 820969. The reversal of 820964 is 469028.

It can be written as a sum of positive squares in 2 ways, for example, as 270400 + 550564 = 520^2 + 742^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (820969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5969 + ... + 6104.

It is an arithmetic number, because the mean of its divisors is an integer number (126777).

2⁸²⁰⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

820964 is a deficient number, since it is larger than the sum of its proper divisors (700360).

820964 is a wasteful number, since it uses less digits than its factorization.

820964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12094 (or 12092 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 820964 is about 906.0706374229. The cubic root of 820964 is about 93.6356805064.

The spelling of 820964 in words is "eight hundred twenty thousand, nine hundred sixty-four".