83293 has 8 divisors (see below), whose sum is σ = 97088. Its totient is φ = 69984.

The previous prime is 83273. The next prime is 83299. The reversal of 83293 is 39238.

It is a happy number.

83293 is nontrivially palindromic in base 13.

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

It is a 7-Lehmer number, since φ(83293) divides (83293-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 83293 - 2⁹ = 82781 is a prime.

It is an Ulam number.

It is a Duffinian number.

83293 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83299) 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, 430 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (12136).

2⁸³²⁹³ is an apocalyptic number.

It is an amenable number.

83293 is a deficient number, since it is larger than the sum of its proper divisors (13795).

83293 is a wasteful number, since it uses less digits than its factorization.

83293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its digits is 1296, while the sum is 25.

The square root of 83293 is about 288.6052667572. The cubic root of 83293 is about 43.6719752172.

The spelling of 83293 in words is "eighty-three thousand, two hundred ninety-three".