Search a number
-
+
12321257 = 131496361
BaseRepresentation
bin101111000000…
…000111101001
3212011222120212
4233000013221
511123240012
61120030505
7206505014
oct57000751
925158525
1012321257
116a56163
124162435
1327252b0
1418ca37b
151135b22
hexbc01e9

12321257 has 8 divisors (see below), whose sum is σ = 13360200. Its totient is φ = 11295360.

The previous prime is 12321247. The next prime is 12321289. The reversal of 12321257 is 75212321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 12033961 = 536^2 + 3469^2 .

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 12321257 - 24 = 12321241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12321227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1244 + ... + 5117.

It is an arithmetic number, because the mean of its divisors is an integer number (1670025).

Almost surely, 212321257 is an apocalyptic number.

It is an amenable number.

12321257 is a deficient number, since it is larger than the sum of its proper divisors (1038943).

12321257 is a wasteful number, since it uses less digits than its factorization.

12321257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523.

The product of its digits is 840, while the sum is 23.

The square root of 12321257 is about 3510.1648109455. The cubic root of 12321257 is about 230.9679246832.

Adding to 12321257 its reverse (75212321), we get a palindrome (87533578).

The spelling of 12321257 in words is "twelve million, three hundred twenty-one thousand, two hundred fifty-seven".

Divisors: 1 13 149 1937 6361 82693 947789 12321257