82993 has 4 divisors (see below), whose sum is σ = 83700. Its totient is φ = 82288.

The previous prime is 82981. The next prime is 82997. The reversal of 82993 is 39928.

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 8464 + 74529 = 92^2 + 273^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82993 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82993.

It is not an unprimeable number, because it can be changed into a prime (82997) 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, 130 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (20925).

2⁸²⁹⁹³ is an apocalyptic number.

It is an amenable number.

82993 is a deficient number, since it is larger than the sum of its proper divisors (707).

82993 is a wasteful number, since it uses less digits than its factorization.

82993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706.

The product of its digits is 3888, while the sum is 31.

The square root of 82993 is about 288.0850568842. The cubic root of 82993 is about 43.6194803951.

The spelling of 82993 in words is "eighty-two thousand, nine hundred ninety-three".