82510 has 16 divisors (see below), whose sum is σ = 153216. Its totient is φ = 31968.

The previous prime is 82507. The next prime is 82529. The reversal of 82510 is 1528.

82510 = 28² + 29² + ... + 64².

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 259 + ... + 481.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2⁸²⁵¹⁰ is an apocalyptic number.

82510 is a deficient number, since it is larger than the sum of its proper divisors (70706).

82510 is a wasteful number, since it uses less digits than its factorization.

82510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267.

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

The square root of 82510 is about 287.2455395650. The cubic root of 82510 is about 43.5346972914.

The spelling of 82510 in words is "eighty-two thousand, five hundred ten".