133505 has 4 divisors (see below), whose sum is σ = 160212. Its totient is φ = 106800.

The previous prime is 133499. The next prime is 133519. The reversal of 133505 is 505331.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 505331 = 31 ⋅16301.

It can be written as a sum of positive squares in 2 ways, for example, as 25921 + 107584 = 161^2 + 328^2 .

It is a de Polignac number, because none of the positive numbers 2^k-133505 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13346 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (40053).

2¹³³⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

133505 is a deficient number, since it is larger than the sum of its proper divisors (26707).

133505 is an equidigital number, since it uses as much as digits as its factorization.

133505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26706.

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 133505 is about 365.3833603217. The cubic root of 133505 is about 51.1092110545.

Adding to 133505 its reverse (505331), we get a palindrome (638836).

The spelling of 133505 in words is "one hundred thirty-three thousand, five hundred five".