33538105 has 8 divisors (see below), whose sum is σ = 40905864. Its totient is φ = 26390400.

The previous prime is 33538103. The next prime is 33538129. The reversal of 33538105 is 50183533.

It can be written as a sum of positive squares in 4 ways, for example, as 3988009 + 29550096 = 1997^2 + 5436^2 .

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

It is not a de Polignac number, because 33538105 - 2¹ = 33538103 is a prime.

It is a super-2 number, since 2×33538105² = 2249608973982050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33538103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54676 + ... + 55285.

It is an arithmetic number, because the mean of its divisors is an integer number (5113233).

Almost surely, 2^33538105 is an apocalyptic number.

It is an amenable number.

33538105 is a deficient number, since it is larger than the sum of its proper divisors (7367759).

33538105 is a wasteful number, since it uses less digits than its factorization.

33538105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110027.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 33538105 is about 5791.2092864962. The cubic root of 33538105 is about 322.4874662116.

The spelling of 33538105 in words is "thirty-three million, five hundred thirty-eight thousand, one hundred five".