33414313 has 2 divisors, whose sum is σ = 33414314. Its totient is φ = 33414312.

The previous prime is 33414287. The next prime is 33414319. The reversal of 33414313 is 31341433.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28270489 + 5143824 = 5317^2 + 2268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33414313 is a prime.

It is a super-2 number, since 2×33414313² = 2233032626523938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33414319) 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, 16707156 + 16707157.

It is an arithmetic number, because the mean of its divisors is an integer number (16707157).

Almost surely, 2^33414313 is an apocalyptic number.

It is an amenable number.

33414313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33414313 is an equidigital number, since it uses as much as digits as its factorization.

33414313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 22.

The square root of 33414313 is about 5780.5114825593. The cubic root of 33414313 is about 322.0902008015.

Adding to 33414313 its reverse (31341433), we get a palindrome (64755746).

The spelling of 33414313 in words is "thirty-three million, four hundred fourteen thousand, three hundred thirteen".