349947 has 16 divisors (see below), whose sum is σ = 558880. Its totient is φ = 215136.

The previous prime is 349939. The next prime is 349949. The reversal of 349947 is 749943.

It is not a de Polignac number, because 349947 - 2³ = 349939 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349949) 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 15 ways as a sum of consecutive naturals, for example, 148 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (34930).

2³⁴⁹⁹⁴⁷ is an apocalyptic number.

349947 is a deficient number, since it is larger than the sum of its proper divisors (208933).

349947 is a wasteful number, since it uses less digits than its factorization.

349947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 349947 is about 591.5631834386. The cubic root of 349947 is about 70.4694299331.

It can be divided in two parts, 349 and 947, that added together give a 4-th power (1296 = 6⁴).

The spelling of 349947 in words is "three hundred forty-nine thousand, nine hundred forty-seven".