67133 has 8 divisors (see below), whose sum is σ = 77760. Its totient is φ = 57280.

The previous prime is 67129. The next prime is 67139. The reversal of 67133 is 33176.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 67133 - 2² = 67129 is a prime.

It is a Duffinian number.

It is a plaindrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2⁶⁷¹³³ is an apocalyptic number.

It is an amenable number.

67133 is a deficient number, since it is larger than the sum of its proper divisors (10627).

67133 is a wasteful number, since it uses less digits than its factorization.

67133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387.

The product of its digits is 378, while the sum is 20.

The square root of 67133 is about 259.1003666535. The cubic root of 67133 is about 40.6423381614.

It can be divided in two parts, 67 and 133, that multiplied together give a triangular number (8911 = T₁₃₃).

The spelling of 67133 in words is "sixty-seven thousand, one hundred thirty-three".