353104 has 20 divisors (see below), whose sum is σ = 708660. Its totient is φ = 170240.

The previous prime is 353099. The next prime is 353117. The reversal of 353104 is 401353.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 291600 = 248^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84 + ... + 844.

It is an arithmetic number, because the mean of its divisors is an integer number (35433).

2³⁵³¹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354330).

353104 is an abundant number, since it is smaller than the sum of its proper divisors (355556).

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

353104 is a wasteful number, since it uses less digits than its factorization.

353104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 353104 is about 594.2255464047. The cubic root of 353104 is about 70.6807060433.

Adding to 353104 its reverse (401353), we get a palindrome (754457).

The spelling of 353104 in words is "three hundred fifty-three thousand, one hundred four".