33138949 has 2 divisors, whose sum is σ = 33138950. Its totient is φ = 33138948.

The previous prime is 33138923. The next prime is 33138961. The reversal of 33138949 is 94983133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30636225 + 2502724 = 5535^2 + 1582^2 .

It is a cyclic number.

It is not a de Polignac number, because 33138949 - 2⁷ = 33138821 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33133949) 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 as a sum of consecutive naturals, namely, 16569474 + 16569475.

It is an arithmetic number, because the mean of its divisors is an integer number (16569475).

Almost surely, 2^33138949 is an apocalyptic number.

It is an amenable number.

33138949 is a deficient number, since it is larger than the sum of its proper divisors (1).

33138949 is an equidigital number, since it uses as much as digits as its factorization.

33138949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69984, while the sum is 40.

The square root of 33138949 is about 5756.6439007463. The cubic root of 33138949 is about 321.2029881697.

The spelling of 33138949 in words is "thirty-three million, one hundred thirty-eight thousand, nine hundred forty-nine".