33138953 has 4 divisors (see below), whose sum is σ = 33150468. Its totient is φ = 33127440.

The previous prime is 33138949. The next prime is 33138961. The reversal of 33138953 is 35983133.

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: 35983133 = 883 ⋅40751.

It can be written as a sum of positive squares in 2 ways, for example, as 16386304 + 16752649 = 4048^2 + 4093^2 .

It is a cyclic number.

It is not a de Polignac number, because 33138953 - 2² = 33138949 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33138923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2783 + ... + 8603.

It is an arithmetic number, because the mean of its divisors is an integer number (8287617).

Almost surely, 2^33138953 is an apocalyptic number.

It is an amenable number.

33138953 is a deficient number, since it is larger than the sum of its proper divisors (11515).

33138953 is an equidigital number, since it uses as much as digits as its factorization.

33138953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11514.

The product of its digits is 29160, while the sum is 35.

The square root of 33138953 is about 5756.6442481710. The cubic root of 33138953 is about 321.2030010932.

The spelling of 33138953 in words is "thirty-three million, one hundred thirty-eight thousand, nine hundred fifty-three".