33801949 has 2 divisors, whose sum is σ = 33801950. Its totient is φ = 33801948.

The previous prime is 33801877. The next prime is 33801953. The reversal of 33801949 is 94910833.

33801949 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., 32569849 + 1232100 = 5707^2 + 1110^2 .

It is a cyclic number.

It is not a de Polignac number, because 33801949 - 2⁷ = 33801821 is a prime.

It is a super-2 number, since 2×33801949² = 2285143512397202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33805949) 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, 16900974 + 16900975.

It is an arithmetic number, because the mean of its divisors is an integer number (16900975).

Almost surely, 2^33801949 is an apocalyptic number.

It is an amenable number.

33801949 is a deficient number, since it is larger than the sum of its proper divisors (1).

33801949 is an equidigital number, since it uses as much as digits as its factorization.

33801949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 33801949 is about 5813.9443581789. The cubic root of 33801949 is about 323.3309269905.

It can be divided in two parts, 3380 and 1949, that added together give a square (5329 = 73²).

The spelling of 33801949 in words is "thirty-three million, eight hundred one thousand, nine hundred forty-nine".