82513 has 4 divisors (see below), whose sum is σ = 83380. Its totient is φ = 81648.

The previous prime is 82507. The next prime is 82529. The reversal of 82513 is 31528.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 54289 + 28224 = 233^2 + 168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82513 is a prime.

It is a super-3 number, since 3×82513³ = 1685343331739091, which contains 333 as substring.

It is a deceptive number, since it divides R₈₂₅₁₂.

It is a Duffinian number.

82513 is a lucky 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 3 ways as a sum of consecutive naturals, for example, 270 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (20845).

2⁸²⁵¹³ is an apocalyptic number.

It is an amenable number.

82513 is a deficient number, since it is larger than the sum of its proper divisors (867).

82513 is a wasteful number, since it uses less digits than its factorization.

82513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866.

The product of its digits is 240, while the sum is 19.

The square root of 82513 is about 287.2507615308. The cubic root of 82513 is about 43.5352249144.

It can be divided in two parts, 8251 and 3, that multiplied together give a triangular number (24753 = T₂₂₂).

The spelling of 82513 in words is "eighty-two thousand, five hundred thirteen".