820625 has 20 divisors (see below), whose sum is σ = 1115268. Its totient is φ = 600000.

The previous prime is 820619. The next prime is 820627. The reversal of 820625 is 526028.

820625 = 165² + 166² + ... + 190².

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 559504 + 261121 = 748^2 + 511^2 .

It is not a de Polignac number, because 820625 - 2⁴ = 820609 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 820625.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820625.

It is not an unprimeable number, because it can be changed into a prime (820627) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8075 + ... + 8175.

2⁸²⁰⁶²⁵ is an apocalyptic number.

It is an amenable number.

820625 is a deficient number, since it is larger than the sum of its proper divisors (294643).

820625 is a wasteful number, since it uses less digits than its factorization.

820625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 820625 is about 905.8835465997. The cubic root of 820625 is about 93.6227904301.

The spelling of 820625 in words is "eight hundred twenty thousand, six hundred twenty-five".