355830 has 32 divisors (see below), whose sum is σ = 885600. Its totient is φ = 91392.

The previous prime is 355819. The next prime is 355841. The reversal of 355830 is 38553.

It is an interprime number because it is at equal distance from previous prime (355819) and next prime (355841).

It is a super-2 number, since 2×355830² = 253229977800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 355830.

It is a congruent number.

It is an unprimeable number.

355830 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, 666 + ... + 1074.

It is an arithmetic number, because the mean of its divisors is an integer number (27675).

2³⁵⁵⁸³⁰ is an apocalyptic number.

355830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 355830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442800).

355830 is an abundant number, since it is smaller than the sum of its proper divisors (529770).

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

355830 is a wasteful number, since it uses less digits than its factorization.

355830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 355830 is about 596.5148782721. The cubic root of 355830 is about 70.8621274707.

The spelling of 355830 in words is "three hundred fifty-five thousand, eight hundred thirty".