33541 has 4 divisors (see below), whose sum is σ = 35532. Its totient is φ = 31552.

The previous prime is 33533. The next prime is 33547. The reversal of 33541 is 14533.

33541 = 129² + 130².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 16641 + 16900 = 129^2 + 130^2 .

It is not a de Polignac number, because 33541 - 2³ = 33533 is a prime.

It is a super-2 number, since 2×33541² = 2249997362, which contains 22 as substring.

It is a Duffinian number.

33541 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33547) 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 3 ways as a sum of consecutive naturals, for example, 970 + ... + 1003.

It is an arithmetic number, because the mean of its divisors is an integer number (8883).

2³³⁵⁴¹ is an apocalyptic number.

33541 is the 130-th centered square number.

It is an amenable number.

33541 is a deficient number, since it is larger than the sum of its proper divisors (1991).

33541 is a wasteful number, since it uses less digits than its factorization.

33541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990.

The product of its digits is 180, while the sum is 16.

The square root of 33541 is about 183.1420213932. The cubic root of 33541 is about 32.2496744954.

The spelling of 33541 in words is "thirty-three thousand, five hundred forty-one".