355005 has 48 divisors (see below), whose sum is σ = 748800. Its totient is φ = 155232.

The previous prime is 354997. The next prime is 355007. The reversal of 355005 is 500553.

It is not a de Polignac number, because 355005 - 2³ = 354997 is a prime.

It is a plaindrome in base 16.

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 355005.

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 47 ways as a sum of consecutive naturals, for example, 15424 + ... + 15446.

It is an arithmetic number, because the mean of its divisors is an integer number (15600).

2³⁵⁵⁰⁰⁵ is an apocalyptic number.

355005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

355005 is an abundant number, since it is smaller than the sum of its proper divisors (393795).

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

355005 is a wasteful number, since it uses less digits than its factorization.

355005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 355005 is about 595.8229602827. The cubic root of 355005 is about 70.8073199365.

Adding to 355005 its reverse (500553), we get a palindrome (855558).

The spelling of 355005 in words is "three hundred fifty-five thousand, five".