82825 has 6 divisors (see below), whose sum is σ = 102734. Its totient is φ = 66240.

The previous prime is 82813. The next prime is 82837. The reversal of 82825 is 52828.

82825 = 203² + 204².

It is an interprime number because it is at equal distance from previous prime (82813) and next prime (82837).

It can be written as a sum of positive squares in 3 ways, for example, as 19321 + 63504 = 139^2 + 252^2 .

It is not a de Polignac number, because 82825 - 2⁵ = 82793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 3313 = 82825 / (8 + 2 + 8 + 2 + 5).

It is a magnanimous number.

It is a Duffinian number.

82825 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 82825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1632 + ... + 1681.

2⁸²⁸²⁵ is an apocalyptic number.

82825 is the 204-th centered square number.

It is an amenable number.

82825 is a deficient number, since it is larger than the sum of its proper divisors (19909).

82825 is a wasteful number, since it uses less digits than its factorization.

82825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3318 counting only the distinct ones).

The product of its digits is 1280, while the sum is 25.

The square root of 82825 is about 287.7933286232. The cubic root of 82825 is about 43.5900280199.

The spelling of 82825 in words is "eighty-two thousand, eight hundred twenty-five".