83193 has 8 divisors (see below), whose sum is σ = 121056. Its totient is φ = 50400.

The previous prime is 83177. The next prime is 83203. The reversal of 83193 is 39138.

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

It is not a de Polignac number, because 83193 - 2⁴ = 83177 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83193.

It is not an unprimeable number, because it can be changed into a prime (83093) 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, 1228 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (15132).

2⁸³¹⁹³ is an apocalyptic number.

It is an amenable number.

83193 is a deficient number, since it is larger than the sum of its proper divisors (37863).

83193 is a wasteful number, since it uses less digits than its factorization.

83193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535.

The product of its digits is 648, while the sum is 24.

The square root of 83193 is about 288.4319677151. The cubic root of 83193 is about 43.6544909692.

It can be divided in two parts, 83 and 193, that added together give a triangular number (276 = T₂₃).

The spelling of 83193 in words is "eighty-three thousand, one hundred ninety-three".