82615 has 16 divisors (see below), whose sum is σ = 112896. Its totient is φ = 57600.

The previous prime is 82613. The next prime is 82619. The reversal of 82615 is 51628.

It is a happy number.

It is not a de Polignac number, because 82615 - 2¹ = 82613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1995 + ... + 2035.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2⁸²⁶¹⁵ is an apocalyptic number.

82615 is a deficient number, since it is larger than the sum of its proper divisors (30281).

82615 is a wasteful number, since it uses less digits than its factorization.

82615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90.

The product of its digits is 480, while the sum is 22.

The square root of 82615 is about 287.4282519169. The cubic root of 82615 is about 43.5531564905.

It can be divided in two parts, 826 and 15, that added together give a square (841 = 29²).

The spelling of 82615 in words is "eighty-two thousand, six hundred fifteen".