82159 has 12 divisors (see below), whose sum is σ = 104272. Its totient is φ = 63360.

The previous prime is 82153. The next prime is 82163. The reversal of 82159 is 95128.

82159 = T₂ + T₃ + ... + T₇₈.

82159 = 70² + 71² + ... + 83².

It is not a de Polignac number, because 82159 - 2⁷ = 82031 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799 + ... + 895.

2⁸²¹⁵⁹ is an apocalyptic number.

82159 is a deficient number, since it is larger than the sum of its proper divisors (22113).

82159 is a wasteful number, since it uses less digits than its factorization.

82159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 82159 is about 286.6339128575. The cubic root of 82159 is about 43.4728769130.

The spelling of 82159 in words is "eighty-two thousand, one hundred fifty-nine".