82573 has 4 divisors (see below), whose sum is σ = 83808. Its totient is φ = 81340.

The previous prime is 82571. The next prime is 82591. The reversal of 82573 is 37528.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 82573 - 2¹ = 82571 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82571) 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 3 ways as a sum of consecutive naturals, for example, 511 + ... + 652.

It is an arithmetic number, because the mean of its divisors is an integer number (20952).

2⁸²⁵⁷³ is an apocalyptic number.

It is an amenable number.

82573 is a deficient number, since it is larger than the sum of its proper divisors (1235).

82573 is a wasteful number, since it uses less digits than its factorization.

82573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234.

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

The square root of 82573 is about 287.3551809173. The cubic root of 82573 is about 43.5457746888.

It can be divided in two parts, 825 and 73, that added together give a palindrome (898).

The spelling of 82573 in words is "eighty-two thousand, five hundred seventy-three".