82610 has 16 divisors (see below), whose sum is σ = 162432. Its totient is φ = 30000.

The previous prime is 82609. The next prime is 82613. The reversal of 82610 is 1628.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (10152).

2⁸²⁶¹⁰ is an apocalyptic number.

82610 is a deficient number, since it is larger than the sum of its proper divisors (79822).

82610 is a wasteful number, since it uses less digits than its factorization.

82610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 82610 is about 287.4195539625. The cubic root of 82610 is about 43.5522778358.

The spelling of 82610 in words is "eighty-two thousand, six hundred ten".