83838 has 16 divisors (see below), whose sum is σ = 170640. Its totient is φ = 27456.

The previous prime is 83833. The next prime is 83843.

83838 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (83833) and next prime (83843).

It is an alternating number because its digits alternate between even and odd.

83838 is an undulating number in base 10.

It is a Curzon 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 (83833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456 + ... + 612.

It is an arithmetic number, because the mean of its divisors is an integer number (10665).

2⁸³⁸³⁸ is an apocalyptic number.

83838 is an abundant number, since it is smaller than the sum of its proper divisors (86802).

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 (85320).

83838 is a wasteful number, since it uses less digits than its factorization.

83838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 4608, while the sum is 30.

The square root of 83838 is about 289.5479234945. The cubic root of 83838 is about 43.7670192288.

The spelling of 83838 in words is "eighty-three thousand, eight hundred thirty-eight".