354585 has 32 divisors (see below), whose sum is σ = 709632. Its totient is φ = 146880.

The previous prime is 354581. The next prime is 354587. The reversal of 354585 is 585453.

354585 is an admirable number.

It is not a de Polignac number, because 354585 - 2² = 354581 is a prime.

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 354585.

It is not an unprimeable number, because it can be changed into a prime (354581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002 + ... + 1308.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2³⁵⁴⁵⁸⁵ is an apocalyptic number.

354585 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

354585 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

354585 is a wasteful number, since it uses less digits than its factorization.

354585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333.

The product of its digits is 12000, while the sum is 30.

The square root of 354585 is about 595.4704022871. The cubic root of 354585 is about 70.7793852970.

It can be divided in two parts, 354 and 585, that added together give a palindrome (939).

The spelling of 354585 in words is "three hundred fifty-four thousand, five hundred eighty-five".