83394 has 24 divisors (see below), whose sum is σ = 186732. Its totient is φ = 26880.

The previous prime is 83389. The next prime is 83399. The reversal of 83394 is 49338.

It is an interprime number because it is at equal distance from previous prime (83389) and next prime (83399).

It can be written as a sum of positive squares in 2 ways, for example, as 56169 + 27225 = 237^2 + 165^2 .

Its product of digits (2592) is a multiple of the sum of its prime factors (162).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (83399) by changing a digit.

83394 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 682 + ... + 794.

2⁸³³⁹⁴ is an apocalyptic number.

83394 is an abundant number, since it is smaller than the sum of its proper divisors (103338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366).

83394 is a wasteful number, since it uses less digits than its factorization.

83394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 83394 is about 288.7801932266. The cubic root of 83394 is about 43.6896201087.

The spelling of 83394 in words is "eighty-three thousand, three hundred ninety-four".