82557 has 6 divisors (see below), whose sum is σ = 119262. Its totient is φ = 55032.

The previous prime is 82549. The next prime is 82559. The reversal of 82557 is 75528.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 47961 + 34596 = 219^2 + 186^2 .

It is not a de Polignac number, because 82557 - 2³ = 82549 is a prime.

It is a d-powerful number, because it can be written as 8² + 2¹⁶ + 5² + 5³ + 7⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 82557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82559) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4578 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (19877).

2⁸²⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

82557 is a deficient number, since it is larger than the sum of its proper divisors (36705).

82557 is a wasteful number, since it uses less digits than its factorization.

82557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9179 (or 9176 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 82557 is about 287.3273394580. The cubic root of 82557 is about 43.5429619154.

The spelling of 82557 in words is "eighty-two thousand, five hundred fifty-seven".