33138577 has 2 divisors, whose sum is σ = 33138578. Its totient is φ = 33138576.

The previous prime is 33138563. The next prime is 33138613. The reversal of 33138577 is 77583133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31708161 + 1430416 = 5631^2 + 1196^2 .

It is an emirp because it is prime and its reverse (77583133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33138577 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33138557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16569288 + 16569289.

It is an arithmetic number, because the mean of its divisors is an integer number (16569289).

Almost surely, 2^33138577 is an apocalyptic number.

It is an amenable number.

33138577 is a deficient number, since it is larger than the sum of its proper divisors (1).

33138577 is an equidigital number, since it uses as much as digits as its factorization.

33138577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 37.

The square root of 33138577 is about 5756.6115901631. The cubic root of 33138577 is about 321.2017862813.

The spelling of 33138577 in words is "thirty-three million, one hundred thirty-eight thousand, five hundred seventy-seven".