83005 has 8 divisors (see below), whose sum is σ = 107352. Its totient is φ = 61248.

The previous prime is 83003. The next prime is 83009. The reversal of 83005 is 50038.

It can be written as a sum of positive squares in 4 ways, for example, as 3481 + 79524 = 59^2 + 282^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83005 - 2¹ = 83003 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 83005.

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, 574 + ... + 703.

It is an arithmetic number, because the mean of its divisors is an integer number (13419).

2⁸³⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

83005 is a deficient number, since it is larger than the sum of its proper divisors (24347).

83005 is a wasteful number, since it uses less digits than its factorization.

83005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 83005 is about 288.1058833138. The cubic root of 83005 is about 43.6215826148.

The spelling of 83005 in words is "eighty-three thousand, five".