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12823253 = 177310333
BaseRepresentation
bin110000111010…
…101011010101
3220010111012022
4300322223111
511240321003
61134502525
7213665402
oct60725325
926114168
1012823253
117269333
124364a45
13286c931
1419bb2a9
1511d4738
hexc3aad5

12823253 has 8 divisors (see below), whose sum is σ = 13764888. Its totient is φ = 11902464.

The previous prime is 12823247. The next prime is 12823267. The reversal of 12823253 is 35232821.

12823253 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 4 ways, for example, as 5299204 + 7524049 = 2302^2 + 2743^2 .

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 12823253 - 26 = 12823189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3926 + ... + 6407.

It is an arithmetic number, because the mean of its divisors is an integer number (1720611).

Almost surely, 212823253 is an apocalyptic number.

It is an amenable number.

12823253 is a deficient number, since it is larger than the sum of its proper divisors (941635).

12823253 is a wasteful number, since it uses less digits than its factorization.

12823253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423.

The product of its digits is 2880, while the sum is 26.

The square root of 12823253 is about 3580.9569949945. The cubic root of 12823253 is about 234.0629837519.

The spelling of 12823253 in words is "twelve million, eight hundred twenty-three thousand, two hundred fifty-three".

Divisors: 1 17 73 1241 10333 175661 754309 12823253