33884041 has 3 divisors (see below), whose sum is σ = 33889863. Its totient is φ = 33878220.

The previous prime is 33884033. The next prime is 33884057. The reversal of 33884041 is 14048833.

The square root of 33884041 is 5821.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 14048833 = 131 ⋅107243.

It can be written as a sum of positive squares in only one way, i.e., 29474041 + 4410000 = 5429^2 + 2100^2 .

It is not a de Polignac number, because 33884041 - 2³ = 33884033 is a prime.

It is a super-2 number, since 2×33884041² = 2296256468979362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33883994 and 33884012.

It is not an unprimeable number, because it can be changed into a prime (33884021) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2911 + ... + 8731.

It is an arithmetic number, because the mean of its divisors is an integer number (11296621).

Almost surely, 2^33884041 is an apocalyptic number.

33884041 is the 5821-st square number.

33884041 is the 2911-st centered octagonal number.

It is an amenable number.

33884041 is a deficient number, since it is larger than the sum of its proper divisors (5822).

33884041 is an frugal number, since it uses more digits than its factorization.

33884041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11642 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 33884041 is about 323.5924644135.

Multiplying 33884041 by its product of nonzero digits (9216), we get a square (312275321856 = 558816²).

The spelling of 33884041 in words is "thirty-three million, eight hundred eighty-four thousand, forty-one".