33714 has 12 divisors (see below), whose sum is σ = 73086. Its totient is φ = 11232.

The previous prime is 33713. The next prime is 33721. The reversal of 33714 is 41733.

It can be written as a sum of positive squares in only one way, i.e., 33489 + 225 = 183^2 + 15^2 .

It is a super-2 number, since 2×33714² = 2273267592, which contains 22 as substring.

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: 1873 = 33714 / (3 + 3 + 7 + 1 + 4).

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33713) 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 5 ways as a sum of consecutive naturals, for example, 919 + ... + 954.

2³³⁷¹⁴ is an apocalyptic number.

33714 is an abundant number, since it is smaller than the sum of its proper divisors (39372).

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

33714 is a wasteful number, since it uses less digits than its factorization.

33714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1878 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 33714 is about 183.6137249772. The cubic root of 33714 is about 32.3050259443.

It can be divided in two parts, 3371 and 4, that added together give a cube (3375 = 15³).

The spelling of 33714 in words is "thirty-three thousand, seven hundred fourteen".