133567 has 4 divisors (see below), whose sum is σ = 152656. Its totient is φ = 114480.

The previous prime is 133559. The next prime is 133571. The reversal of 133567 is 765331.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 133567 - 2³ = 133559 is a prime.

It is a super-3 number, since 3×133567³ = 7148563336185789, which contains 333 as substring.

133567 is a lucky number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133597) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9534 + ... + 9547.

It is an arithmetic number, because the mean of its divisors is an integer number (38164).

2¹³³⁵⁶⁷ is an apocalyptic number.

133567 is a deficient number, since it is larger than the sum of its proper divisors (19089).

133567 is an equidigital number, since it uses as much as digits as its factorization.

133567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19088.

The product of its digits is 1890, while the sum is 25.

The square root of 133567 is about 365.4681928705. The cubic root of 133567 is about 51.1171215714.

Adding to 133567 its reverse (765331), we get a palindrome (898898).

The spelling of 133567 in words is "one hundred thirty-three thousand, five hundred sixty-seven".