83338 has 4 divisors (see below), whose sum is σ = 125010. Its totient is φ = 41668.

The previous prime is 83311. The next prime is 83339.

83338 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in only one way, i.e., 80089 + 3249 = 283^2 + 57^2 .

It is a super-4 number, since 4×83338⁴ (a number of 21 digits) contains 4444 as substring.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83339) by changing a digit.

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 as a sum of consecutive naturals, namely, 20833 + ... + 20836.

2⁸³³³⁸ is an apocalyptic number.

83338 is a deficient number, since it is larger than the sum of its proper divisors (41672).

83338 is a wasteful number, since it uses less digits than its factorization.

83338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41671.

The product of its digits is 1728, while the sum is 25.

The square root of 83338 is about 288.6832173854. The cubic root of 83338 is about 43.6798385634.

The spelling of 83338 in words is "eighty-three thousand, three hundred thirty-eight".