82537 has 8 divisors (see below), whose sum is σ = 101696. Its totient is φ = 65232.

The previous prime is 82531. The next prime is 82549. The reversal of 82537 is 73528.

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 82537 - 2³ = 82529 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82537.

It is not an unprimeable number, because it can be changed into a prime (82531) 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, 363 + ... + 544.

It is an arithmetic number, because the mean of its divisors is an integer number (12712).

2⁸²⁵³⁷ is an apocalyptic number.

82537 is the 182-nd heptagonal number.

It is an amenable number.

82537 is a deficient number, since it is larger than the sum of its proper divisors (19159).

82537 is a wasteful number, since it uses less digits than its factorization.

82537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927.

The product of its digits is 1680, while the sum is 25.

The square root of 82537 is about 287.2925338396. The cubic root of 82537 is about 43.5394454376.

Subtracting from 82537 its reverse (73528), we obtain a palindrome (9009).

The spelling of 82537 in words is "eighty-two thousand, five hundred thirty-seven".