347967 has 18 divisors (see below), whose sum is σ = 537576. Its totient is φ = 216480.

The previous prime is 347959. The next prime is 347969. The reversal of 347967 is 769743.

It is not a de Polignac number, because 347967 - 2³ = 347959 is a 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 347967.

It is not an unprimeable number, because it can be changed into a prime (347969) 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 in 17 ways as a sum of consecutive naturals, for example, 8467 + ... + 8507.

2³⁴⁷⁹⁶⁷ is an apocalyptic number.

347967 is a deficient number, since it is larger than the sum of its proper divisors (189609).

347967 is a wasteful number, since it uses less digits than its factorization.

347967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 67 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 347967 is about 589.8872773675. The cubic root of 347967 is about 70.3362731464.

It can be divided in two parts, 34 and 7967, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 347967 in words is "three hundred forty-seven thousand, nine hundred sixty-seven".