349713 has 36 divisors (see below), whose sum is σ = 643188. Its totient is φ = 181440.

The previous prime is 349709. The next prime is 349717. The reversal of 349713 is 317943.

It is an interprime number because it is at equal distance from previous prime (349709) and next prime (349717).

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 321489 = 168^2 + 567^2 .

It is not a de Polignac number, because 349713 - 2² = 349709 is a prime.

Its product of digits (2268) is a multiple of the sum of its prime divisors (84).

It is a Curzon number.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 5703 + ... + 5763.

2³⁴⁹⁷¹³ is an apocalyptic number.

It is an amenable number.

349713 is a deficient number, since it is larger than the sum of its proper divisors (293475).

349713 is a wasteful number, since it uses less digits than its factorization.

349713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 349713 is about 591.3653692938. The cubic root of 349713 is about 70.4537194366.

The spelling of 349713 in words is "three hundred forty-nine thousand, seven hundred thirteen".