349281 has 9 divisors (see below), whose sum is σ = 507091. Its totient is φ = 231672.

The previous prime is 349241. The next prime is 349291. The reversal of 349281 is 182943.

The square root of 349281 is 591.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 342225 + 7056 = 585^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 349281 - 2⁹ = 348769 is a prime.

It is a super-2 number, since 2×349281² = 243994433922, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349281.

It is not an unprimeable number, because it can be changed into a prime (349211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1675 + ... + 1871.

2³⁴⁹²⁸¹ is an apocalyptic number.

349281 is the 591-st square number.

349281 is the 296-th centered octagonal number.

It is an amenable number.

349281 is a deficient number, since it is larger than the sum of its proper divisors (157810).

349281 is an equidigital number, since it uses as much as digits as its factorization.

349281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The cubic root of 349281 is about 70.4246970211.

It can be divided in two parts, 349 and 281, that added together give a triangular number (630 = T₃₅).

The spelling of 349281 in words is "three hundred forty-nine thousand, two hundred eighty-one".