347643 has 18 divisors (see below), whose sum is σ = 534924. Its totient is φ = 217512.

The previous prime is 347629. The next prime is 347651. The reversal of 347643 is 346743.

It is not a de Polignac number, because 347643 - 2⁶ = 347579 is a prime.

It is a d-powerful number, because it can be written as 3⁸ + 4⁵ + 6⁷ + 7² + 4⁵ + 3¹⁰ .

347643 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 347643.

It is not an unprimeable number, because it can be changed into a prime (347143) 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, 3196 + ... + 3302.

It is an arithmetic number, because the mean of its divisors is an integer number (29718).

2³⁴⁷⁶⁴³ is an apocalyptic number.

347643 is a deficient number, since it is larger than the sum of its proper divisors (187281).

347643 is a wasteful number, since it uses less digits than its factorization.

347643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 347643 is about 589.6125846690. The cubic root of 347643 is about 70.3144357986.

Subtracting from 347643 its reverse (346743), we obtain a square (900 = 30²).

It can be divided in two parts, 347 and 643, that added together give a triangular number (990 = T₄₄).

The spelling of 347643 in words is "three hundred forty-seven thousand, six hundred forty-three".