33668137 has 2 divisors, whose sum is σ = 33668138. Its totient is φ = 33668136.

The previous prime is 33668087. The next prime is 33668147. The reversal of 33668137 is 73186633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31539456 + 2128681 = 5616^2 + 1459^2 .

It is a cyclic number.

It is not a de Polignac number, because 33668137 - 2⁷ = 33668009 is a prime.

It is a super-2 number, since 2×33668137² = 2267086898101538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33668096 and 33668105.

It is not a weakly prime, because it can be changed into another prime (33668147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16834068 + 16834069.

It is an arithmetic number, because the mean of its divisors is an integer number (16834069).

Almost surely, 2^33668137 is an apocalyptic number.

It is an amenable number.

33668137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33668137 is an equidigital number, since it uses as much as digits as its factorization.

33668137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54432, while the sum is 37.

The square root of 33668137 is about 5802.4250964575. The cubic root of 33668137 is about 322.9037053158.

The spelling of 33668137 in words is "thirty-three million, six hundred sixty-eight thousand, one hundred thirty-seven".