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12937 = 17761
BaseRepresentation
bin11001010001001
3122202011
43022021
5403222
6135521
752501
oct31211
918664
1012937
1197a1
1275a1
135b72
144a01
153c77
hex3289

12937 has 4 divisors (see below), whose sum is σ = 13716. Its totient is φ = 12160.

The previous prime is 12923. The next prime is 12941. The reversal of 12937 is 73921.

It can be divided in two parts, 12 and 937, that added together give a palindrome (949).

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73921 = 292549.

It can be written as a sum of positive squares in 2 ways, for example, as 3721 + 9216 = 61^2 + 96^2 .

It is a cyclic number.

It is not a de Polignac number, because 12937 - 27 = 12809 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

12937 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12907) 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, 364 + ... + 397.

It is an arithmetic number, because the mean of its divisors is an integer number (3429).

212937 is an apocalyptic number.

12937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12937 is a deficient number, since it is larger than the sum of its proper divisors (779).

12937 is an equidigital number, since it uses as much as digits as its factorization.

12937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778.

The product of its digits is 378, while the sum is 22.

The square root of 12937 is about 113.7409337046. The cubic root of 12937 is about 23.4753022554.

The spelling of 12937 in words is "twelve thousand, nine hundred thirty-seven".

Divisors: 1 17 761 12937