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18137 = 72591
BaseRepresentation
bin100011011011001
3220212202
410123121
51040022
6215545
7103610
oct43331
926782
1018137
1112699
12a5b5
138342
146877
155592
hex46d9

18137 has 4 divisors (see below), whose sum is σ = 20736. Its totient is φ = 15540.

The previous prime is 18133. The next prime is 18143. The reversal of 18137 is 73181.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 18137 - 22 = 18133 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18137.

It is not an unprimeable number, because it can be changed into a prime (18131) 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, 1289 + ... + 1302.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

218137 is an apocalyptic number.

It is an amenable number.

18137 is a deficient number, since it is larger than the sum of its proper divisors (2599).

18137 is an equidigital number, since it uses as much as digits as its factorization.

18137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598.

The product of its digits is 168, while the sum is 20.

The square root of 18137 is about 134.6736796854. The cubic root of 18137 is about 26.2737351461.

The spelling of 18137 in words is "eighteen thousand, one hundred thirty-seven".

Divisors: 1 7 2591 18137