83607 has 12 divisors (see below), whose sum is σ = 119160. Its totient is φ = 52080.

The previous prime is 83597. The next prime is 83609. The reversal of 83607 is 70638.

It is not a de Polignac number, because 83607 - 2⁴ = 83591 is a prime.

It is a plaindrome in base 14.

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 83607.

It is not an unprimeable number, because it can be changed into a prime (83609) 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, 2682 + ... + 2712.

It is an arithmetic number, because the mean of its divisors is an integer number (9930).

2⁸³⁶⁰⁷ is an apocalyptic number.

83607 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

83607 is a deficient number, since it is larger than the sum of its proper divisors (35553).

83607 is a wasteful number, since it uses less digits than its factorization.

83607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 83607 is about 289.1487506458. The cubic root of 83607 is about 43.7267849625.

The spelling of 83607 in words is "eighty-three thousand, six hundred seven".