33457133 has 2 divisors, whose sum is σ = 33457134. Its totient is φ = 33457132.

The previous prime is 33457121. The next prime is 33457183. The reversal of 33457133 is 33175433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17280649 + 16176484 = 4157^2 + 4022^2 .

It is an emirp because it is prime and its reverse (33175433) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33457133 - 2⁸ = 33456877 is a prime.

It is a super-2 number, since 2×33457133² = 2238759497159378, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33457096 and 33457105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33457103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16728566 + 16728567.

It is an arithmetic number, because the mean of its divisors is an integer number (16728567).

Almost surely, 2^33457133 is an apocalyptic number.

It is an amenable number.

33457133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33457133 is an equidigital number, since it uses as much as digits as its factorization.

33457133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11340, while the sum is 29.

The square root of 33457133 is about 5784.2141212096. The cubic root of 33457133 is about 322.2277268492.

The spelling of 33457133 in words is "thirty-three million, four hundred fifty-seven thousand, one hundred thirty-three".