33761 has 12 divisors (see below), whose sum is σ = 43092. Its totient is φ = 26208.

The previous prime is 33757. The next prime is 33767. The reversal of 33761 is 16733.

It can be written as a sum of positive squares in 2 ways, for example, as 14161 + 19600 = 119^2 + 140^2 .

It is not a de Polignac number, because 33761 - 2² = 33757 is a prime.

It is a super-2 number, since 2×33761² = 2279610242, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33767) 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 11 ways as a sum of consecutive naturals, for example, 611 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

2³³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

33761 is a deficient number, since it is larger than the sum of its proper divisors (9331).

33761 is a wasteful number, since it uses less digits than its factorization.

33761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 73 counting only the distinct ones).

The product of its digits is 378, while the sum is 20.

The square root of 33761 is about 183.7416664777. The cubic root of 33761 is about 32.3200308997.

The spelling of 33761 in words is "thirty-three thousand, seven hundred sixty-one".