355164 has 24 divisors (see below), whose sum is σ = 877968. Its totient is φ = 111360.

The previous prime is 355139. The next prime is 355171. The reversal of 355164 is 461553.

It is a super-2 number, since 2×355164² = 252282933792, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁸ + 5 + 1 + 5⁵ + 6⁷ + 4⁸ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667 + ... + 1074.

It is an arithmetic number, because the mean of its divisors is an integer number (36582).

2³⁵⁵¹⁶⁴ is an apocalyptic number.

355164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

355164 is an abundant number, since it is smaller than the sum of its proper divisors (522804).

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

355164 is a wasteful number, since it uses less digits than its factorization.

355164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1763 counting only the distinct ones).

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

The square root of 355164 is about 595.9563742423. The cubic root of 355164 is about 70.8178894434.

The spelling of 355164 in words is "three hundred fifty-five thousand, one hundred sixty-four".