83814 has 16 divisors (see below), whose sum is σ = 171120. Its totient is φ = 27360.

The previous prime is 83813. The next prime is 83833. The reversal of 83814 is 41838.

83814 is nontrivially palindromic in base 11.

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

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83814.

It is not an unprimeable number, because it can be changed into a prime (83813) 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, 252 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (10695).

2⁸³⁸¹⁴ is an apocalyptic number.

83814 is an abundant number, since it is smaller than the sum of its proper divisors (87306).

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 (85560).

83814 is a wasteful number, since it uses less digits than its factorization.

83814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295.

The product of its digits is 768, while the sum is 24.

The square root of 83814 is about 289.5064766115. The cubic root of 83814 is about 43.7628424883.

Adding to 83814 its sum of digits (24), we get a palindrome (83838).

It can be divided in two parts, 8381 and 4, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 83814 in words is "eighty-three thousand, eight hundred fourteen".