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12397333 = 132109673
BaseRepresentation
bin101111010010…
…101100010101
3212022211221111
4233102230111
511133203313
61121415021
7210242554
oct57225425
925284844
1012397333
116aa8333
12419a471
132750b00
141909d9b
15114d43d
hexbd2b15

12397333 has 12 divisors (see below), whose sum is σ = 13567620. Its totient is φ = 11321856.

The previous prime is 12397321. The next prime is 12397337. The reversal of 12397333 is 33379321.

It can be written as a sum of positive squares in 6 ways, for example, as 1684804 + 10712529 = 1298^2 + 3273^2 .

It is not a de Polignac number, because 12397333 - 29 = 12396821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12397295 and 12397304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12397337) 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 11 ways as a sum of consecutive naturals, for example, 18085 + ... + 18757.

It is an arithmetic number, because the mean of its divisors is an integer number (1130635).

Almost surely, 212397333 is an apocalyptic number.

12397333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12397333 is a deficient number, since it is larger than the sum of its proper divisors (1170287).

12397333 is a wasteful number, since it uses less digits than its factorization.

12397333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 795 counting only the distinct ones).

The product of its digits is 10206, while the sum is 31.

The square root of 12397333 is about 3520.9846634145. The cubic root of 12397333 is about 231.4423101525.

The spelling of 12397333 in words is "twelve million, three hundred ninety-seven thousand, three hundred thirty-three".

Divisors: 1 13 109 169 673 1417 8749 18421 73357 113737 953641 12397333