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2137 is a prime number
BaseRepresentation
bin100001011001
32221011
4201121
532022
613521
76142
oct4131
92834
102137
111673
1212a1
13c85
14ac9
15977
hex859

2137 has 2 divisors, whose sum is σ = 2138. Its totient is φ = 2136.

The previous prime is 2131. The next prime is 2141. The reversal of 2137 is 7312.

Adding to 2137 its reverse (7312), we get a palindrome (9449).

It can be divided in two parts, 21 and 37, that multiplied together give a palindrome (777).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1296 + 841 = 36^2 + 29^2 .

2137 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 2137 - 23 = 2129 is a prime.

It is a d-powerful number, because it can be written as 211 + 34 + 1 + 7 .

It is a nialpdrome in base 13 and base 15.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 1068 + 1069.

It is an arithmetic number, because the mean of its divisors is an integer number (1069).

It is an amenable number.

2137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137 is an equidigital number, since it uses as much as digits as its factorization.

2137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 13.

The square root of 2137 is about 46.2276973253. The cubic root of 2137 is about 12.8805628395.

The spelling of 2137 in words is "two thousand, one hundred thirty-seven".