83307 has 8 divisors (see below), whose sum is σ = 126976. Its totient is φ = 47592.

The previous prime is 83299. The next prime is 83311. The reversal of 83307 is 70338.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83307 - 2³ = 83299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 3967 = 83307 / (8 + 3 + 3 + 0 + 7).

It is a Duffinian number.

83307 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83357) 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, 1963 + ... + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (15872).

2⁸³³⁰⁷ is an apocalyptic number.

83307 is a deficient number, since it is larger than the sum of its proper divisors (43669).

83307 is a wasteful number, since it uses less digits than its factorization.

83307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 83307 is about 288.6295203197. The cubic root of 83307 is about 43.6744218950.

The spelling of 83307 in words is "eighty-three thousand, three hundred seven".