33628333 has 2 divisors, whose sum is σ = 33628334. Its totient is φ = 33628332.

The previous prime is 33628327. The next prime is 33628339. The reversal of 33628333 is 33382633.

It is a balanced prime because it is at equal distance from previous prime (33628327) and next prime (33628339).

It can be written as a sum of positive squares in only one way, i.e., 33385284 + 243049 = 5778^2 + 493^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33628333 is a prime.

It is a super-2 number, since 2×33628333² = 2261729560717778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33628295 and 33628304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33628339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16814166 + 16814167.

It is an arithmetic number, because the mean of its divisors is an integer number (16814167).

Almost surely, 2^33628333 is an apocalyptic number.

It is an amenable number.

33628333 is a deficient number, since it is larger than the sum of its proper divisors (1).

33628333 is an equidigital number, since it uses as much as digits as its factorization.

33628333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 31.

The square root of 33628333 is about 5798.9941369172. The cubic root of 33628333 is about 322.7764046626.

The spelling of 33628333 in words is "thirty-three million, six hundred twenty-eight thousand, three hundred thirty-three".