155205 has 12 divisors (see below), whose sum is σ = 269100. Its totient is φ = 82752.

The previous prime is 155203. The next prime is 155209. The reversal of 155205 is 502551.

155205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 136161 = 138^2 + 369^2 .

It is not a de Polignac number, because 155205 - 2¹ = 155203 is a prime.

155205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1680 + ... + 1769.

It is an arithmetic number, because the mean of its divisors is an integer number (22425).

2¹⁵⁵²⁰⁵ is an apocalyptic number.

155205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

155205 is a deficient number, since it is larger than the sum of its proper divisors (113895).

155205 is a wasteful number, since it uses less digits than its factorization.

155205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 155205 is about 393.9606579343. The cubic root of 155205 is about 53.7405247404.

Adding to 155205 its reverse (502551), we get a palindrome (657756).

The spelling of 155205 in words is "one hundred fifty-five thousand, two hundred five".