353345 has 8 divisors (see below), whose sum is σ = 449064. Its totient is φ = 265984.

The previous prime is 353341. The next prime is 353359. The reversal of 353345 is 543353.

It can be written as a sum of positive squares in 4 ways, for example, as 66049 + 287296 = 257^2 + 536^2 .

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 353345 - 2² = 353341 is a prime.

It is a d-powerful number, because it can be written as 3² + 5⁷ + 3⁹ + 3¹¹ + 4⁴ + 5⁷ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 353345.

It is not an unprimeable number, because it can be changed into a prime (353341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1994 + ... + 2163.

It is an arithmetic number, because the mean of its divisors is an integer number (56133).

2³⁵³³⁴⁵ is an apocalyptic number.

It is an amenable number.

353345 is a deficient number, since it is larger than the sum of its proper divisors (95719).

353345 is a wasteful number, since it uses less digits than its factorization.

353345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179.

The product of its digits is 2700, while the sum is 23.

The square root of 353345 is about 594.4282967693. The cubic root of 353345 is about 70.6967826820.

Adding to 353345 its reverse (543353), we get a palindrome (896698).

The spelling of 353345 in words is "three hundred fifty-three thousand, three hundred forty-five".