66133 has 4 divisors (see below), whose sum is σ = 67788. Its totient is φ = 64480.

The previous prime is 66109. The next prime is 66137. The reversal of 66133 is 33166.

It is a happy number.

66133 is nontrivially palindromic in base 13.

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

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 47089 = 138^2 + 217^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66133 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 66133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66137) 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, 766 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (16947).

2⁶⁶¹³³ is an apocalyptic number.

It is an amenable number.

66133 is a deficient number, since it is larger than the sum of its proper divisors (1655).

66133 is a wasteful number, since it uses less digits than its factorization.

66133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654.

The product of its digits is 324, while the sum is 19.

The square root of 66133 is about 257.1633721975. The cubic root of 66133 is about 40.4395276955.

Adding to 66133 its reverse (33166), we get a palindrome (99299).

It can be divided in two parts, 66 and 133, that multiplied together give a palindrome (8778).

The spelling of 66133 in words is "sixty-six thousand, one hundred thirty-three".