349007 has 2 divisors, whose sum is σ = 349008. Its totient is φ = 349006.

The previous prime is 348991. The next prime is 349039. The reversal of 349007 is 700943.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 349007 - 2⁴ = 348991 is a prime.

It is a super-3 number, since 3×349007³ = 127533320616910029, which contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349007.

It is not a weakly prime, because it can be changed into another prime (349207) 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, 174503 + 174504.

It is an arithmetic number, because the mean of its divisors is an integer number (174504).

2³⁴⁹⁰⁰⁷ is an apocalyptic number.

349007 is a deficient number, since it is larger than the sum of its proper divisors (1).

349007 is an equidigital number, since it uses as much as digits as its factorization.

349007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 349007 is about 590.7681440294. The cubic root of 349007 is about 70.4062768809.

Adding to 349007 its sum of digits (23), we get a triangular number (349030 = T₈₃₅).

The spelling of 349007 in words is "three hundred forty-nine thousand, seven".