355806 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 107640.

The previous prime is 355799. The next prime is 355811. The reversal of 355806 is 608553.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 355806.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355806.

It is an unprimeable number.

355806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2³⁵⁵⁸⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

355806 is an abundant number, since it is smaller than the sum of its proper divisors (508194).

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

355806 is a wasteful number, since it uses less digits than its factorization.

355806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 355806 is about 596.4947610834. The cubic root of 355806 is about 70.8605342667.

The spelling of 355806 in words is "three hundred fifty-five thousand, eight hundred six".