33728501 has 2 divisors, whose sum is σ = 33728502. Its totient is φ = 33728500.

The previous prime is 33728447. The next prime is 33728503. The reversal of 33728501 is 10582733.

33728501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17648401 + 16080100 = 4201^2 + 4010^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33728501 is a prime.

It is a super-2 number, since 2×33728501² = 2275223559414002, which contains 22 as substring.

Together with 33728503, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33728503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16864250 + 16864251.

It is an arithmetic number, because the mean of its divisors is an integer number (16864251).

Almost surely, 2^33728501 is an apocalyptic number.

It is an amenable number.

33728501 is a deficient number, since it is larger than the sum of its proper divisors (1).

33728501 is an equidigital number, since it uses as much as digits as its factorization.

33728501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 33728501 is about 5807.6243852370. The cubic root of 33728501 is about 323.0965693864.

The spelling of 33728501 in words is "thirty-three million, seven hundred twenty-eight thousand, five hundred one".