347361 has 24 divisors (see below), whose sum is σ = 574560. Its totient is φ = 185472.

The previous prime is 347359. The next prime is 347401. The reversal of 347361 is 163743.

347361 = 59² + 60² + ... + 107².

347361 is nontrivially palindromic in base 15.

347361 is a nontrivial binomial coefficient, being equal to C(834, 2).

It is not a de Polignac number, because 347361 - 2¹ = 347359 is a prime.

347361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (347341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2430 + ... + 2568.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2³⁴⁷³⁶¹ is an apocalyptic number.

347361 is the 833-rd triangular number and also the 417-th hexagonal number.

It is an amenable number.

347361 is a deficient number, since it is larger than the sum of its proper divisors (227199).

347361 is a wasteful number, since it uses less digits than its factorization.

347361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 347361 is about 589.3733960742. The cubic root of 347361 is about 70.2954181714.

The spelling of 347361 in words is "three hundred forty-seven thousand, three hundred sixty-one".