67800349 has 2 divisors, whose sum is σ = 67800350. Its totient is φ = 67800348.

The previous prime is 67800329. The next prime is 67800353. The reversal of 67800349 is 94300876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54243225 + 13557124 = 7365^2 + 3682^2 .

It is a cyclic number.

It is not a de Polignac number, because 67800349 - 2⁷ = 67800221 is a prime.

It is a Chen prime.

It is equal to p_3996235 and since 67800349 and 3996235 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67800329) 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, 33900174 + 33900175.

It is an arithmetic number, because the mean of its divisors is an integer number (33900175).

Almost surely, 2^67800349 is an apocalyptic number.

It is an amenable number.

67800349 is a deficient number, since it is larger than the sum of its proper divisors (1).

67800349 is an equidigital number, since it uses as much as digits as its factorization.

67800349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 67800349 is about 8234.0967324898. The cubic root of 67800349 is about 407.7656546231.

The spelling of 67800349 in words is "sixty-seven million, eight hundred thousand, three hundred forty-nine".