33138761 has 2 divisors, whose sum is σ = 33138762. Its totient is φ = 33138760.

The previous prime is 33138737. The next prime is 33138769. The reversal of 33138761 is 16783133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33131536 + 7225 = 5756^2 + 85^2 .

It is an emirp because it is prime and its reverse (16783133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33138761 - 2⁶ = 33138697 is a prime.

It is equal to p_2039639 and since 33138761 and 2039639 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (33138769) 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, 16569380 + 16569381.

It is an arithmetic number, because the mean of its divisors is an integer number (16569381).

Almost surely, 2^33138761 is an apocalyptic number.

It is an amenable number.

33138761 is a deficient number, since it is larger than the sum of its proper divisors (1).

33138761 is an equidigital number, since it uses as much as digits as its factorization.

33138761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 32.

The square root of 33138761 is about 5756.6275717646. The cubic root of 33138761 is about 321.2023807649.

The spelling of 33138761 in words is "thirty-three million, one hundred thirty-eight thousand, seven hundred sixty-one".