82015 has 8 divisors (see below), whose sum is σ = 100800. Its totient is φ = 64032.

The previous prime is 82013. The next prime is 82021. The reversal of 82015 is 51028.

82015 = T₃₄ + T₃₅ + ... + T₈₀.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82015 - 2¹ = 82013 is a prime.

It is a plaindrome in base 9 and base 11.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 82015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2⁸²⁰¹⁵ is an apocalyptic number.

82015 is a deficient number, since it is larger than the sum of its proper divisors (18785).

82015 is a wasteful number, since it uses less digits than its factorization.

82015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 82015 is about 286.3826112040. The cubic root of 82015 is about 43.4474637703.

The spelling of 82015 in words is "eighty-two thousand, fifteen".