353313 has 12 divisors (see below), whose sum is σ = 524628. Its totient is φ = 228960.

The previous prime is 353293. The next prime is 353317. The reversal of 353313 is 313353.

353313 is a `hidden beast` number, since 353 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 74529 = 528^2 + 273^2 .

It is not a de Polignac number, because 353313 - 2⁸ = 353057 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (353317) 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 11 ways as a sum of consecutive naturals, for example, 198 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (43719).

2³⁵³³¹³ is an apocalyptic number.

It is an amenable number.

353313 is a deficient number, since it is larger than the sum of its proper divisors (171315).

353313 is a wasteful number, since it uses less digits than its factorization.

353313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1101 counting only the distinct ones).

The product of its digits is 405, while the sum is 18.

The square root of 353313 is about 594.4013795408. The cubic root of 353313 is about 70.6946484456.

Adding to 353313 its reverse (313353), we get a palindrome (666666).

It can be divided in two parts, 353 and 313, that added together give a palindrome (666).

The spelling of 353313 in words is "three hundred fifty-three thousand, three hundred thirteen".