33745 has 8 divisors (see below), whose sum is σ = 42984. Its totient is φ = 25344.

The previous prime is 33739. The next prime is 33749. The reversal of 33745 is 54733.

It can be written as a sum of positive squares in 4 ways, for example, as 9409 + 24336 = 97^2 + 156^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33745 - 2⁵ = 33713 is a prime.

It is a super-2 number, since 2×33745² = 2277450050, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33749) 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 7 ways as a sum of consecutive naturals, for example, 114 + ... + 283.

It is an arithmetic number, because the mean of its divisors is an integer number (5373).

2³³⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

33745 is a deficient number, since it is larger than the sum of its proper divisors (9239).

33745 is a wasteful number, since it uses less digits than its factorization.

33745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419.

The product of its digits is 1260, while the sum is 22.

The square root of 33745 is about 183.6981219283. The cubic root of 33745 is about 32.3149243941.

The spelling of 33745 in words is "thirty-three thousand, seven hundred forty-five".