83006 has 24 divisors (see below), whose sum is σ = 159600. Its totient is φ = 32340.

The previous prime is 83003. The next prime is 83009. The reversal of 83006 is 60038.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83003) and next prime (83009).

It is a Curzon number.

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, 7541 + ... + 7551.

It is an arithmetic number, because the mean of its divisors is an integer number (6650).

2⁸³⁰⁰⁶ is an apocalyptic number.

83006 is a deficient number, since it is larger than the sum of its proper divisors (76594).

83006 is a wasteful number, since it uses less digits than its factorization.

83006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 83006 is about 288.1076187816. The cubic root of 83006 is about 43.6217577906.

The spelling of 83006 in words is "eighty-three thousand, six".