16133 has 8 divisors (see below), whose sum is σ = 18648. Its totient is φ = 13824.

The previous prime is 16127. The next prime is 16139. The reversal of 16133 is 33161.

16133 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (16127) and next prime (16139).

It can be written as a sum of positive squares in 4 ways, for example, as 2209 + 13924 = 47^2 + 118^2 .

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 16133 - 2⁶ = 16069 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16139) 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, 185 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (2331).

2¹⁶¹³³ is an apocalyptic number.

16133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16133 is a deficient number, since it is larger than the sum of its proper divisors (2515).

16133 is a wasteful number, since it uses less digits than its factorization.

16133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103.

The product of its digits is 54, while the sum is 14.

The square root of 16133 is about 127.0157470552. The cubic root of 16133 is about 25.2680490499.

Adding to 16133 its reverse (33161), we get a palindrome (49294).

The spelling of 16133 in words is "sixteen thousand, one hundred thirty-three".