83000 has 32 divisors (see below), whose sum is σ = 196560. Its totient is φ = 32800.

The previous prime is 82997. The next prime is 83003. The reversal of 83000 is 38.

It is an interprime number because it is at equal distance from previous prime (82997) and next prime (83003).

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

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 7 ways as a sum of consecutive naturals, for example, 959 + ... + 1041.

2⁸³⁰⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

83000 is an abundant number, since it is smaller than the sum of its proper divisors (113560).

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

83000 is a wasteful number, since it uses less digits than its factorization.

83000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 83000 is about 288.0972058178. The cubic root of 83000 is about 43.6207067145.

Adding to 83000 its reverse (38), we get a palindrome (83038).

The spelling of 83000 in words is "eighty-three thousand".