33798313 has 2 divisors, whose sum is σ = 33798314. Its totient is φ = 33798312.

The previous prime is 33798269. The next prime is 33798341. The reversal of 33798313 is 31389733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24870169 + 8928144 = 4987^2 + 2988^2 .

It is a cyclic number.

It is not a de Polignac number, because 33798313 - 2¹⁷ = 33667241 is a prime.

It is a super-2 number, since 2×33798313² = 2284651923291938, which contains 22 as substring.

It is equal to p_2077768 and since 33798313 and 2077768 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (33798013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16899156 + 16899157.

It is an arithmetic number, because the mean of its divisors is an integer number (16899157).

Almost surely, 2^33798313 is an apocalyptic number.

It is an amenable number.

33798313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33798313 is an equidigital number, since it uses as much as digits as its factorization.

33798313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 37.

The square root of 33798313 is about 5813.6316532784. The cubic root of 33798313 is about 323.3193332467.

The spelling of 33798313 in words is "thirty-three million, seven hundred ninety-eight thousand, three hundred thirteen".