355008 has 42 divisors (see below), whose sum is σ = 961644. Its totient is φ = 115584.

The previous prime is 355007. The next prime is 355009. The reversal of 355008 is 800553.

355008 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (355007) and next prime (355009).

It is not an unprimeable number, because it can be changed into a prime (355007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8235 + ... + 8277.

2³⁵⁵⁰⁰⁸ 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 355008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480822).

355008 is an abundant number, since it is smaller than the sum of its proper divisors (606636).

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

355008 is an equidigital number, since it uses as much as digits as its factorization.

355008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 355008 is about 595.8254778037. The cubic root of 355008 is about 70.8075193903.

The spelling of 355008 in words is "three hundred fifty-five thousand, eight".