83138 has 8 divisors (see below), whose sum is σ = 136080. Its totient is φ = 37780.

The previous prime is 83137. The next prime is 83177.

83138 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (83137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1868 + ... + 1911.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁸³¹³⁸ is an apocalyptic number.

83138 is a deficient number, since it is larger than the sum of its proper divisors (52942).

83138 is a wasteful number, since it uses less digits than its factorization.

83138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792.

The product of its digits is 576, while the sum is 23.

The square root of 83138 is about 288.3366088446. The cubic root of 83138 is about 43.6448686600.

The spelling of 83138 in words is "eighty-three thousand, one hundred thirty-eight".