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12823937 = 72261713
BaseRepresentation
bin110000111010…
…110110000001
3220010112010122
4300322312001
511240331222
61134510025
7214000400
oct60726601
926115118
1012823937
1172698a5
124365315
132870039
1419bb637
1511d4a42
hexc3ad81

12823937 has 6 divisors (see below), whose sum is σ = 14917698. Its totient is φ = 10991904.

The previous prime is 12823927. The next prime is 12823961. The reversal of 12823937 is 73932821.

12823937 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9834496 + 2989441 = 3136^2 + 1729^2 .

It is not a de Polignac number, because 12823937 - 212 = 12819841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12823897 and 12823906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823907) 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 5 ways as a sum of consecutive naturals, for example, 130808 + ... + 130905.

It is an arithmetic number, because the mean of its divisors is an integer number (2486283).

Almost surely, 212823937 is an apocalyptic number.

It is an amenable number.

12823937 is a deficient number, since it is larger than the sum of its proper divisors (2093761).

12823937 is an equidigital number, since it uses as much as digits as its factorization.

12823937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261727 (or 261720 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 12823937 is about 3581.0524989170. The cubic root of 12823937 is about 234.0671453645.

The spelling of 12823937 in words is "twelve million, eight hundred twenty-three thousand, nine hundred thirty-seven".

Divisors: 1 7 49 261713 1831991 12823937