83807 has 4 divisors (see below), whose sum is σ = 85800. Its totient is φ = 81816.

The previous prime is 83791. The next prime is 83813. The reversal of 83807 is 70838.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70838 = 2 ⋅35419.

It is a cyclic number.

It is not a de Polignac number, because 83807 - 2⁴ = 83791 is a prime.

It is a super-2 number, since 2×83807² = 14047226498, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83807.

It is not an unprimeable number, because it can be changed into a prime (83857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 932 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (21450).

2⁸³⁸⁰⁷ is an apocalyptic number.

83807 is a deficient number, since it is larger than the sum of its proper divisors (1993).

83807 is a wasteful number, since it uses less digits than its factorization.

83807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 83807 is about 289.4943868195. The cubic root of 83807 is about 43.7616241221.

The spelling of 83807 in words is "eighty-three thousand, eight hundred seven".