32214 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 8352.

The previous prime is 32213. The next prime is 32233. The reversal of 32214 is 41223.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 32214.

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 32214.

It is not an unprimeable number, because it can be changed into a prime (32213) 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 15 ways as a sum of consecutive naturals, for example, 517 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2³²²¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

32214 is an abundant number, since it is smaller than the sum of its proper divisors (48426).

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

32214 is a wasteful number, since it uses less digits than its factorization.

32214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its digits is 48, while the sum is 12.

The square root of 32214 is about 179.4825896849. The cubic root of 32214 is about 31.8186354914.

Adding to 32214 its reverse (41223), we get a palindrome (73437).

Subtracting 32214 from its reverse (41223), we obtain a palindrome (9009).

The spelling of 32214 in words is "thirty-two thousand, two hundred fourteen".