820965 has 16 divisors (see below), whose sum is σ = 1324800. Its totient is φ = 434112.

The previous prime is 820957. The next prime is 820969. The reversal of 820965 is 569028.

820965 = 205² + 206² + ... + 222².

820965 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 820965 - 2³ = 820957 is a prime.

It is a Curzon number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3316 + ... + 3554.

It is an arithmetic number, because the mean of its divisors is an integer number (82800).

2⁸²⁰⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

820965 is a deficient number, since it is larger than the sum of its proper divisors (503835).

820965 is a wasteful number, since it uses less digits than its factorization.

820965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 820965 is about 906.0711892561. The cubic root of 820965 is about 93.6357185250.

The spelling of 820965 in words is "eight hundred twenty thousand, nine hundred sixty-five".