353106 has 32 divisors (see below), whose sum is σ = 846720. Its totient is φ = 108432.

The previous prime is 353099. The next prime is 353117. The reversal of 353106 is 601353.

353106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2³⁵³¹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

353106 is an abundant number, since it is smaller than the sum of its proper divisors (493614).

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

353106 is a wasteful number, since it uses less digits than its factorization.

353106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 353106 is about 594.2272292650. The cubic root of 353106 is about 70.6808394895.

Subtracting from 353106 its product of nonzero digits (270), we obtain a square (352836 = 594²).

Adding to 353106 its reverse (601353), we get a palindrome (954459).

The spelling of 353106 in words is "three hundred fifty-three thousand, one hundred six".