83673 has 10 divisors (see below), whose sum is σ = 125114. Its totient is φ = 55728.

The previous prime is 83663. The next prime is 83689. The reversal of 83673 is 37638.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 729 = 288^2 + 27^2 .

It is not a de Polignac number, because 83673 - 2⁵ = 83641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83653) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 436 + ... + 597.

2⁸³⁶⁷³ is an apocalyptic number.

It is an amenable number.

83673 is a deficient number, since it is larger than the sum of its proper divisors (41441).

83673 is a wasteful number, since it uses less digits than its factorization.

83673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1036 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 83673 is about 289.2628562398. The cubic root of 83673 is about 43.7382880214.

It can be divided in two parts, 836 and 73, that added together give a palindrome (909).

The spelling of 83673 in words is "eighty-three thousand, six hundred seventy-three".