83214 has 32 divisors (see below), whose sum is σ = 195840. Its totient is φ = 26136.

The previous prime is 83207. The next prime is 83219. The reversal of 83214 is 41238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83219) 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 in 15 ways as a sum of consecutive naturals, for example, 1209 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (6120).

2⁸³²¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97920).

83214 is an abundant number, since it is smaller than the sum of its proper divisors (112626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83214 is a wasteful number, since it uses less digits than its factorization.

83214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 83214 is about 288.4683691499. The cubic root of 83214 is about 43.6581638230.

The spelling of 83214 in words is "eighty-three thousand, two hundred fourteen".