33138629 has 2 divisors, whose sum is σ = 33138630. Its totient is φ = 33138628.

The previous prime is 33138617. The next prime is 33138671. The reversal of 33138629 is 92683133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26368225 + 6770404 = 5135^2 + 2602^2 .

It is a cyclic number.

It is not a de Polignac number, because 33138629 - 2⁴ = 33138613 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33138529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16569314 + 16569315.

It is an arithmetic number, because the mean of its divisors is an integer number (16569315).

Almost surely, 2^33138629 is an apocalyptic number.

It is an amenable number.

33138629 is a deficient number, since it is larger than the sum of its proper divisors (1).

33138629 is an equidigital number, since it uses as much as digits as its factorization.

33138629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 35.

The square root of 33138629 is about 5756.6161067071. The cubic root of 33138629 is about 321.2019542878.

The spelling of 33138629 in words is "thirty-three million, one hundred thirty-eight thousand, six hundred twenty-nine".