33605137 has 2 divisors, whose sum is σ = 33605138. Its totient is φ = 33605136.

The previous prime is 33605087. The next prime is 33605149. The reversal of 33605137 is 73150633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21242881 + 12362256 = 4609^2 + 3516^2 .

It is an emirp because it is prime and its reverse (73150633) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33605137 is a prime.

It is a super-2 number, since 2×33605137² = 2258610465577538, which contains 22 as substring.

It is equal to p_2066608 and since 33605137 and 2066608 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (33605177) 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, 16802568 + 16802569.

It is an arithmetic number, because the mean of its divisors is an integer number (16802569).

Almost surely, 2^33605137 is an apocalyptic number.

It is an amenable number.

33605137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33605137 is an equidigital number, since it uses as much as digits as its factorization.

33605137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 28.

The square root of 33605137 is about 5796.9937898880. The cubic root of 33605137 is about 322.7021731744.

The spelling of 33605137 in words is "thirty-three million, six hundred five thousand, one hundred thirty-seven".