349767 has 12 divisors (see below), whose sum is σ = 551304. Its totient is φ = 211920.

The previous prime is 349759. The next prime is 349787. The reversal of 349767 is 767943.

It is not a de Polignac number, because 349767 - 2³ = 349759 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 349767.

It is not an unprimeable number, because it can be changed into a prime (349717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1668 + ... + 1865.

It is an arithmetic number, because the mean of its divisors is an integer number (45942).

2³⁴⁹⁷⁶⁷ is an apocalyptic number.

349767 is a deficient number, since it is larger than the sum of its proper divisors (201537).

349767 is a wasteful number, since it uses less digits than its factorization.

349767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3547 counting only the distinct ones).

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

The square root of 349767 is about 591.4110245844. The cubic root of 349767 is about 70.4573455577.

It can be divided in two parts, 34 and 9767, that added together give a square (9801 = 99²).

The spelling of 349767 in words is "three hundred forty-nine thousand, seven hundred sixty-seven".