83090 has 16 divisors (see below), whose sum is σ = 171072. Its totient is φ = 28464.

The previous prime is 83089. The next prime is 83093. The reversal of 83090 is 9038.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83090.

It is not an unprimeable number, because it can be changed into a prime (83093) 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, 524 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (10692).

2⁸³⁰⁹⁰ is an apocalyptic number.

83090 is an abundant number, since it is smaller than the sum of its proper divisors (87982).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536).

83090 is a wasteful number, since it uses less digits than its factorization.

83090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 83090 is about 288.2533607783. The cubic root of 83090 is about 43.6364675397.

The spelling of 83090 in words is "eighty-three thousand, ninety".