133705 has 24 divisors (see below), whose sum is σ = 201096. Its totient is φ = 84480.

The previous prime is 133697. The next prime is 133709. The reversal of 133705 is 507331.

It can be written as a sum of positive squares in 4 ways, for example, as 9801 + 123904 = 99^2 + 352^2 .

It is not a de Polignac number, because 133705 - 2³ = 133697 is a prime.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7857 + ... + 7873.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2¹³³⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

133705 is a deficient number, since it is larger than the sum of its proper divisors (67391).

133705 is a wasteful number, since it uses less digits than its factorization.

133705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 133705 is about 365.6569430491. The cubic root of 133705 is about 51.1347200669.

It can be divided in two parts, 133 and 705, that added together give a palindrome (838).

The spelling of 133705 in words is "one hundred thirty-three thousand, seven hundred five".