33138121 has 2 divisors, whose sum is σ = 33138122. Its totient is φ = 33138120.

The previous prime is 33138089. The next prime is 33138137. The reversal of 33138121 is 12183133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16646400 + 16491721 = 4080^2 + 4061^2 .

It is a cyclic number.

It is not a de Polignac number, because 33138121 - 2⁵ = 33138089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33138092 and 33138101.

It is not a weakly prime, because it can be changed into another prime (33138181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16569060 + 16569061.

It is an arithmetic number, because the mean of its divisors is an integer number (16569061).

Almost surely, 2^33138121 is an apocalyptic number.

It is an amenable number.

33138121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33138121 is an equidigital number, since it uses as much as digits as its factorization.

33138121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

The square root of 33138121 is about 5756.5719833943. The cubic root of 33138121 is about 321.2003129864.

The spelling of 33138121 in words is "thirty-three million, one hundred thirty-eight thousand, one hundred twenty-one".