82893 has 4 divisors (see below), whose sum is σ = 110528. Its totient is φ = 55260.

The previous prime is 82891. The next prime is 82903. The reversal of 82893 is 39828.

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 not a de Polignac number, because 82893 - 2¹ = 82891 is a prime.

It is a D-number.

It is a Duffinian number.

82893 is a lucky number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 82893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82891) 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, 13813 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (27632).

2⁸²⁸⁹³ is an apocalyptic number.

It is an amenable number.

82893 is a deficient number, since it is larger than the sum of its proper divisors (27635).

82893 is a wasteful number, since it uses less digits than its factorization.

82893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27634.

The product of its digits is 3456, while the sum is 30.

The square root of 82893 is about 287.9114447187. The cubic root of 82893 is about 43.6019540128.

The spelling of 82893 in words is "eighty-two thousand, eight hundred ninety-three".