33814 has 16 divisors (see below), whose sum is σ = 58320. Its totient is φ = 14560.

The previous prime is 33811. The next prime is 33827. The reversal of 33814 is 41833.

It is a super-2 number, since 2×33814² = 2286773192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33791 and 33800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33811) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 612 + ... + 664.

It is an arithmetic number, because the mean of its divisors is an integer number (3645).

2³³⁸¹⁴ is an apocalyptic number.

33814 is a deficient number, since it is larger than the sum of its proper divisors (24506).

33814 is a wasteful number, since it uses less digits than its factorization.

33814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its digits is 288, while the sum is 19.

The square root of 33814 is about 183.8858341472. The cubic root of 33814 is about 32.3369346847.

Adding to 33814 its sum of digits (19), we get a palindrome (33833).

It can be divided in two parts, 33 and 814, that multiplied together give a palindrome (26862).

The spelling of 33814 in words is "thirty-three thousand, eight hundred fourteen".