353056 has 48 divisors (see below), whose sum is σ = 816480. Its totient is φ = 148480.

The previous prime is 353053. The next prime is 353057. The reversal of 353056 is 650353.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (353053) 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, 5955 + ... + 6013.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2³⁵³⁰⁵⁶ 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 353056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

353056 is an abundant number, since it is smaller than the sum of its proper divisors (463424).

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

353056 is a wasteful number, since it uses less digits than its factorization.

353056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 353056 is about 594.1851563276. The cubic root of 353056 is about 70.6775031837.

The spelling of 353056 in words is "three hundred fifty-three thousand, fifty-six".