32814 has 12 divisors (see below), whose sum is σ = 71136. Its totient is φ = 10932.

The previous prime is 32803. The next prime is 32831. The reversal of 32814 is 41823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1823 = 32814 / (3 + 2 + 8 + 1 + 4).

It is a d-powerful number, because it can be written as 3² + 2⁵ + 8⁵ + 1 + 4 .

It is a Curzon number.

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 32814.

It is an unprimeable number.

32814 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 894 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (5928).

2³²⁸¹⁴ is an apocalyptic number.

32814 is an abundant number, since it is smaller than the sum of its proper divisors (38322).

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

32814 is a wasteful number, since it uses less digits than its factorization.

32814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1828 counting only the distinct ones).

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

The square root of 32814 is about 181.1463496734. The cubic root of 32814 is about 32.0149669569.

Subtracting 32814 from its reverse (41823), we obtain a palindrome (9009).

The spelling of 32814 in words is "thirty-two thousand, eight hundred fourteen".