82053 has 10 divisors (see below), whose sum is σ = 122694. Its totient is φ = 54648.

The previous prime is 82051. The next prime is 82067. The reversal of 82053 is 35028.

It can be written as a sum of positive squares in only one way, i.e., 42849 + 39204 = 207^2 + 198^2 .

It is not a de Polignac number, because 82053 - 2¹ = 82051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 426 + ... + 587.

2⁸²⁰⁵³ is an apocalyptic number.

It is an amenable number.

82053 is a deficient number, since it is larger than the sum of its proper divisors (40641).

82053 is a wasteful number, since it uses less digits than its factorization.

82053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 82053 is about 286.4489483311. The cubic root of 82053 is about 43.4541729035.

The spelling of 82053 in words is "eighty-two thousand, fifty-three".