349663 has 2 divisors, whose sum is σ = 349664. Its totient is φ = 349662.

The previous prime is 349637. The next prime is 349667. The reversal of 349663 is 366943.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 349663 - 2¹⁷ = 218591 is a prime.

349663 is a lucky number.

It is equal to p₂₉₉₄₇ and since 349663 and 29947 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (349667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174831 + 174832.

It is an arithmetic number, because the mean of its divisors is an integer number (174832).

2³⁴⁹⁶⁶³ is an apocalyptic number.

349663 is a deficient number, since it is larger than the sum of its proper divisors (1).

349663 is an equidigital number, since it uses as much as digits as its factorization.

349663 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 31.

The square root of 349663 is about 591.3230927336. The cubic root of 349663 is about 70.4503615842.

It can be divided in two parts, 34966 and 3, that added together give a square (34969 = 187²).

The spelling of 349663 in words is "three hundred forty-nine thousand, six hundred sixty-three".