83670 has 16 divisors (see below), whose sum is σ = 200880. Its totient is φ = 22304.

The previous prime is 83663. The next prime is 83689. The reversal of 83670 is 7638.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83670.

It is a congruent number.

It is an unprimeable number.

83670 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1365 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (12555).

2⁸³⁶⁷⁰ is an apocalyptic number.

83670 is an abundant number, since it is smaller than the sum of its proper divisors (117210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440).

83670 is a wasteful number, since it uses less digits than its factorization.

83670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799.

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

The square root of 83670 is about 289.2576705984. The cubic root of 83670 is about 43.7377652864.

The spelling of 83670 in words is "eighty-three thousand, six hundred seventy".