82501 has 8 divisors (see below), whose sum is σ = 91584. Its totient is φ = 73920.

The previous prime is 82499. The next prime is 82507. The reversal of 82501 is 10528.

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 82501 - 2¹ = 82499 is a prime.

It is a Duffinian number.

82501 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82507) 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, 286 + ... + 496.

It is an arithmetic number, because the mean of its divisors is an integer number (11448).

2⁸²⁵⁰¹ is an apocalyptic number.

It is an amenable number.

82501 is a deficient number, since it is larger than the sum of its proper divisors (9083).

82501 is a wasteful number, since it uses less digits than its factorization.

82501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

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

The square root of 82501 is about 287.2298730982. The cubic root of 82501 is about 43.5331143458.

The spelling of 82501 in words is "eighty-two thousand, five hundred one".