33628237 has 2 divisors, whose sum is σ = 33628238. Its totient is φ = 33628236.

The previous prime is 33628229. The next prime is 33628247. The reversal of 33628237 is 73282633.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26071236 + 7557001 = 5106^2 + 2749^2 .

It is an emirp because it is prime and its reverse (73282633) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33628237 - 2³ = 33628229 is a prime.

It is a super-2 number, since 2×33628237² = 2261716647456338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33628247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16814118 + 16814119.

It is an arithmetic number, because the mean of its divisors is an integer number (16814119).

Almost surely, 2^33628237 is an apocalyptic number.

It is an amenable number.

33628237 is a deficient number, since it is larger than the sum of its proper divisors (1).

33628237 is an equidigital number, since it uses as much as digits as its factorization.

33628237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 34.

The square root of 33628237 is about 5798.9858596137. The cubic root of 33628237 is about 322.7760975152.

The spelling of 33628237 in words is "thirty-three million, six hundred twenty-eight thousand, two hundred thirty-seven".