33728137 has 2 divisors, whose sum is σ = 33728138. Its totient is φ = 33728136.

The previous prime is 33728113. The next prime is 33728171. The reversal of 33728137 is 73182733.

It is an a-pointer prime, because the next prime (33728171) can be obtained adding 33728137 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26842761 + 6885376 = 5181^2 + 2624^2 .

It is a cyclic number.

It is not a de Polignac number, because 33728137 - 2²³ = 25339529 is a prime.

It is a super-2 number, since 2×33728137² = 2275174450981538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33728237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16864068 + 16864069.

It is an arithmetic number, because the mean of its divisors is an integer number (16864069).

Almost surely, 2^33728137 is an apocalyptic number.

It is an amenable number.

33728137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33728137 is an equidigital number, since it uses as much as digits as its factorization.

33728137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 34.

The square root of 33728137 is about 5807.5930470376. The cubic root of 33728137 is about 323.0954070897.

The spelling of 33728137 in words is "thirty-three million, seven hundred twenty-eight thousand, one hundred thirty-seven".