80825 has 12 divisors (see below), whose sum is σ = 103788. Its totient is φ = 62400.

The previous prime is 80819. The next prime is 80831. The reversal of 80825 is 52808.

80825 = T₃₀ + T₃₁ + ... + T₇₉.

80825 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (80819) and next prime (80831).

It can be written as a sum of positive squares in 6 ways, for example, as 8464 + 72361 = 92^2 + 269^2 .

It is not a de Polignac number, because 80825 - 2⁴ = 80809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 80825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1295 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (8649).

2⁸⁰⁸²⁵ is an apocalyptic number.

It is an amenable number.

80825 is a deficient number, since it is larger than the sum of its proper divisors (22963).

80825 is a wasteful number, since it uses less digits than its factorization.

80825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 80825 is about 284.2973795166. The cubic root of 80825 is about 43.2363049292.

The spelling of 80825 in words is "eighty thousand, eight hundred twenty-five".