83007 has 12 divisors (see below), whose sum is σ = 125424. Its totient is φ = 52800.

The previous prime is 83003. The next prime is 83009. The reversal of 83007 is 70038.

It is not a de Polignac number, because 83007 - 2² = 83003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (10452).

2⁸³⁰⁰⁷ is an apocalyptic number.

83007 is a deficient number, since it is larger than the sum of its proper divisors (42417).

83007 is a wasteful number, since it uses less digits than its factorization.

83007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 83007 is about 288.1093542390. The cubic root of 83007 is about 43.6219329650.

The spelling of 83007 in words is "eighty-three thousand, seven".