82214 has 16 divisors (see below), whose sum is σ = 139536. Its totient is φ = 36000.

The previous prime is 82207. The next prime is 82217. The reversal of 82214 is 41228.

It is a Curzon number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 82192 and 82201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82217) 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, 764 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (8721).

2⁸²²¹⁴ is an apocalyptic number.

82214 is a deficient number, since it is larger than the sum of its proper divisors (57322).

82214 is a wasteful number, since it uses less digits than its factorization.

82214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its digits is 128, while the sum is 17.

The square root of 82214 is about 286.7298380009. The cubic root of 82214 is about 43.4825754849.

It can be divided in two parts, 8 and 2214, that added together give a palindrome (2222).

The spelling of 82214 in words is "eighty-two thousand, two hundred fourteen".