33538041 has 24 divisors (see below), whose sum is σ = 50190504. Its totient is φ = 21565440.

The previous prime is 33538027. The next prime is 33538049. The reversal of 33538041 is 14083533.

It is a happy number.

33538041 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 32319225 = 1104^2 + 5685^2 .

It is not a de Polignac number, because 33538041 - 2⁵ = 33538009 is a prime.

It is a super-2 number, since 2×33538041² = 2249600388235362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33537996 and 33538014.

It is not an unprimeable number, because it can be changed into a prime (33538049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35325 + ... + 36261.

It is an arithmetic number, because the mean of its divisors is an integer number (2091271).

Almost surely, 2^33538041 is an apocalyptic number.

It is an amenable number.

33538041 is a deficient number, since it is larger than the sum of its proper divisors (16652463).

33538041 is a wasteful number, since it uses less digits than its factorization.

33538041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 33538041 is about 5791.2037608774. The cubic root of 33538041 is about 322.4872610797.

The spelling of 33538041 in words is "thirty-three million, five hundred thirty-eight thousand, forty-one".