349807 has 8 divisors (see below), whose sum is σ = 372096. Its totient is φ = 328152.

The previous prime is 349801. The next prime is 349813. The reversal of 349807 is 708943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (349801) and next prime (349813).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 349807 - 2¹¹ = 347759 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1428 + ... + 1654.

It is an arithmetic number, because the mean of its divisors is an integer number (46512).

2³⁴⁹⁸⁰⁷ is an apocalyptic number.

349807 is a deficient number, since it is larger than the sum of its proper divisors (22289).

349807 is a wasteful number, since it uses less digits than its factorization.

349807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 349807 is about 591.4448410461. Note that the first 3 decimals coincide. The cubic root of 349807 is about 70.4600313327.

It can be divided in two parts, 349 and 807, that added together give a square (1156 = 34²).

The spelling of 349807 in words is "three hundred forty-nine thousand, eight hundred seven".