353004 has 24 divisors (see below), whose sum is σ = 860160. Its totient is φ = 112464.

The previous prime is 352991. The next prime is 353011. The reversal of 353004 is 400353.

It is a super-2 number, since 2×353004² = 249223648032, which contains 22 as substring.

It is an unprimeable number.

353004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (35840).

2³⁵³⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

353004 is an abundant number, since it is smaller than the sum of its proper divisors (507156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

353004 is a wasteful number, since it uses less digits than its factorization.

353004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 353004 is about 594.1413973121. The cubic root of 353004 is about 70.6740330915.

Adding to 353004 its reverse (400353), we get a palindrome (753357).

The spelling of 353004 in words is "three hundred fifty-three thousand, four".