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BaseRepresentation
bin10111111100001
3121210222
42333201
5343012
6132425
750510
oct27741
917728
1012257
119233
127115
13576b
144677
153972
hex2fe1

12257 has 8 divisors (see below), whose sum is σ = 14976. Its totient is φ = 9792.

The previous prime is 12253. The next prime is 12263. The reversal of 12257 is 75221.

Adding to 12257 its reverse (75221), we get a palindrome (87478).

12257 = T8 + T9 + ... + T41.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12257 - 22 = 12253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a plaindrome in base 10 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12251) 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, 68 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1872).

212257 is an apocalyptic number.

12257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12257 is a deficient number, since it is larger than the sum of its proper divisors (2719).

12257 is a wasteful number, since it uses less digits than its factorization.

12257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127.

The product of its digits is 140, while the sum is 17.

The square root of 12257 is about 110.7113363662. The cubic root of 12257 is about 23.0565715159.

The spelling of 12257 in words is "twelve thousand, two hundred fifty-seven".

Divisors: 1 7 17 103 119 721 1751 12257