83045 has 8 divisors (see below), whose sum is σ = 105624. Its totient is φ = 62464.

The previous prime is 83023. The next prime is 83047. The reversal of 83045 is 54038.

It can be written as a sum of positive squares in 4 ways, for example, as 37249 + 45796 = 193^2 + 214^2 .

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 83045 - 2⁶ = 82981 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404 + ... + 573.

It is an arithmetic number, because the mean of its divisors is an integer number (13203).

2⁸³⁰⁴⁵ is an apocalyptic number.

83045 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83045 is a deficient number, since it is larger than the sum of its proper divisors (22579).

83045 is a wasteful number, since it uses less digits than its factorization.

83045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 83045 is about 288.1752938751. The cubic root of 83045 is about 43.6285885505.

The spelling of 83045 in words is "eighty-three thousand, forty-five".