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2133 = 3379
BaseRepresentation
bin100001010101
32221000
4201111
532013
613513
76135
oct4125
92830
102133
11166a
121299
13c81
14ac5
15973
hex855

2133 has 8 divisors (see below), whose sum is σ = 3200. Its totient is φ = 1404.

The previous prime is 2131. The next prime is 2137. The reversal of 2133 is 3312.

Adding to 2133 its reverse (3312), we get a palindrome (5445).

It can be divided in two parts, 213 and 3, that added together give a cube (216 = 63).

It is a happy number.

It is not a de Polignac number, because 2133 - 21 = 2131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a d-powerful number, because it can be written as 211 + 3 + 1 + 34 .

It is a Duffinian number.

2133 is a modest number, since divided by 33 gives 21 as remainder.

2133 is a lucky number.

It is a plaindrome in base 11 and base 12.

It is a nialpdrome in base 3, base 13, base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 66.

It is an arithmetic number, because the mean of its divisors is an integer number (400).

It is a 2-hyperperfect number.

22133 is an apocalyptic number.

2133 is the 27-th octagonal number.

It is an amenable number.

2133 is a deficient number, since it is larger than the sum of its proper divisors (1067).

2133 is an equidigital number, since it uses as much as digits as its factorization.

2133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its digits is 18, while the sum is 9.

The square root of 2133 is about 46.1844129550. The cubic root of 2133 is about 12.8725212811.

The spelling of 2133 in words is "two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 79 237 711 2133