33741 has 12 divisors (see below), whose sum is σ = 51168. Its totient is φ = 21384.

The previous prime is 33739. The next prime is 33749. The reversal of 33741 is 14733.

33741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33741 - 2¹ = 33739 is a prime.

It is a super-2 number, since 2×33741² = 2276910162, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

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 33741.

It is not an unprimeable number, because it can be changed into a prime (33749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (4264).

2³³⁷⁴¹ is an apocalyptic number.

It is an amenable number.

33741 is a deficient number, since it is larger than the sum of its proper divisors (17427).

33741 is a wasteful number, since it uses less digits than its factorization.

33741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

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

The square root of 33741 is about 183.6872341781. The cubic root of 33741 is about 32.3136475155.

Subtracting from 33741 its product of digits (252), we obtain a square (33489 = 183²).

It can be divided in two parts, 3374 and 1, that added together give a cube (3375 = 15³).

The spelling of 33741 in words is "thirty-three thousand, seven hundred forty-one".