133806 has 16 divisors (see below), whose sum is σ = 277200. Its totient is φ = 43008.

The previous prime is 133801. The next prime is 133811. The reversal of 133806 is 608331.

It is an interprime number because it is at equal distance from previous prime (133801) and next prime (133811).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133801) by changing a digit.

133806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (17325).

2¹³³⁸⁰⁶ is an apocalyptic number.

133806 is an abundant number, since it is smaller than the sum of its proper divisors (143394).

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

133806 is a wasteful number, since it uses less digits than its factorization.

133806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 133806 is about 365.7950245698. The cubic root of 133806 is about 51.1475924522.

It can be divided in two parts, 133 and 806, that added together give a palindrome (939).

The spelling of 133806 in words is "one hundred thirty-three thousand, eight hundred six".