33364033 has 2 divisors, whose sum is σ = 33364034. Its totient is φ = 33364032.

The previous prime is 33364027. The next prime is 33364039. The reversal of 33364033 is 33046333.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (33364027) and next prime (33364039).

It can be written as a sum of positive squares in only one way, i.e., 32798529 + 565504 = 5727^2 + 752^2 .

It is a cyclic number.

It is not a de Polignac number, because 33364033 - 2¹³ = 33355841 is a prime.

It is a super-2 number, since 2×33364033² = 2226317396050178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33363989 and 33364007.

It is not a weakly prime, because it can be changed into another prime (33364039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16682016 + 16682017.

It is an arithmetic number, because the mean of its divisors is an integer number (16682017).

Almost surely, 2^33364033 is an apocalyptic number.

It is an amenable number.

33364033 is a deficient number, since it is larger than the sum of its proper divisors (1).

33364033 is an equidigital number, since it uses as much as digits as its factorization.

33364033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 25.

The square root of 33364033 is about 5776.1607491482. The cubic root of 33364033 is about 321.9285652268.

The spelling of 33364033 in words is "thirty-three million, three hundred sixty-four thousand, thirty-three".