83145 has 16 divisors (see below), whose sum is σ = 139392. Its totient is φ = 42240.

The previous prime is 83137. The next prime is 83177. The reversal of 83145 is 54138.

It is not a de Polignac number, because 83145 - 2³ = 83137 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 225 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (8712).

2⁸³¹⁴⁵ is an apocalyptic number.

It is an amenable number.

83145 is a deficient number, since it is larger than the sum of its proper divisors (56247).

83145 is a wasteful number, since it uses less digits than its factorization.

83145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272.

The product of its digits is 480, while the sum is 21.

The square root of 83145 is about 288.3487471795. The cubic root of 83145 is about 43.6460935531.

The spelling of 83145 in words is "eighty-three thousand, one hundred forty-five".