353005 has 8 divisors (see below), whose sum is σ = 448632. Its totient is φ = 265728.

The previous prime is 352991. The next prime is 353011. The reversal of 353005 is 500353.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 346921 = 78^2 + 589^2 .

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 353005 - 2⁵ = 352973 is a prime.

It is a super-2 number, since 2×353005² = 249225060050, which contains 22 as substring.

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 353005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1992 + ... + 2161.

It is an arithmetic number, because the mean of its divisors is an integer number (56079).

2³⁵³⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

353005 is a deficient number, since it is larger than the sum of its proper divisors (95627).

353005 is a wasteful number, since it uses less digits than its factorization.

353005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175.

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 353005 is about 594.1422388620. The cubic root of 353005 is about 70.6740998273.

Adding to 353005 its reverse (500353), we get a palindrome (853358).

The spelling of 353005 in words is "three hundred fifty-three thousand, five".