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13237 = 73161
BaseRepresentation
bin11001110110101
3200011021
43032311
5410422
6141141
753410
oct31665
920137
1013237
119a44
1277b1
136043
144b77
153dc7
hex33b5

13237 has 8 divisors (see below), whose sum is σ = 15872. Its totient is φ = 10800.

The previous prime is 13229. The next prime is 13241. The reversal of 13237 is 73231.

Adding to 13237 its reverse (73231), we get a palindrome (86468).

It can be divided in two parts, 1323 and 7, that multiplied together give a cube (9261 = 213).

13237 is nontrivially palindromic in base 6.

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

It is a cyclic number.

It is not a de Polignac number, because 13237 - 23 = 13229 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 13237.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13237.

It is not an unprimeable number, because it can be changed into a prime (13217) 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, 187 + ... + 247.

It is an arithmetic number, because the mean of its divisors is an integer number (1984).

213237 is an apocalyptic number.

It is an amenable number.

13237 is a deficient number, since it is larger than the sum of its proper divisors (2635).

13237 is an equidigital number, since it uses as much as digits as its factorization.

13237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99.

The product of its digits is 126, while the sum is 16.

The square root of 13237 is about 115.0521620831. The cubic root of 13237 is about 23.6553760423.

The spelling of 13237 in words is "thirteen thousand, two hundred thirty-seven".

Divisors: 1 7 31 61 217 427 1891 13237