83745 has 12 divisors (see below), whose sum is σ = 145236. Its totient is φ = 44640.

The previous prime is 83737. The next prime is 83761. The reversal of 83745 is 54738.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 74529 = 96^2 + 273^2 .

It is not a de Polignac number, because 83745 - 2³ = 83737 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8 + 3⁷ + 7⁴ + 4⁵ + 5⁷ .

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 886 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2⁸³⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

83745 is a deficient number, since it is larger than the sum of its proper divisors (61491).

83745 is a wasteful number, since it uses less digits than its factorization.

83745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1869 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 83745 is about 289.3872837566. The cubic root of 83745 is about 43.7508299162.

It can be divided in two parts, 83 and 745, that added together give a palindrome (828).

The spelling of 83745 in words is "eighty-three thousand, seven hundred forty-five".