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23785313 is a prime number
BaseRepresentation
bin101101010111…
…0111101100001
31122202102022112
41122232331201
522042112223
62205445105
7406112636
oct132567541
948672275
1023785313
1112476292
127b70795
134c0a366
14323218d
15214c778
hex16aef61

23785313 has 2 divisors, whose sum is σ = 23785314. Its totient is φ = 23785312.

The previous prime is 23785297. The next prime is 23785331. The reversal of 23785313 is 31358732.

Together with next prime (23785331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20729809 + 3055504 = 4553^2 + 1748^2 .

It is a cyclic number.

It is not a de Polignac number, because 23785313 - 24 = 23785297 is a prime.

It is a super-2 number, since 2×237853132 = 1131482229015938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23785313.

It is not a weakly prime, because it can be changed into another prime (23785613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11892656 + 11892657.

It is an arithmetic number, because the mean of its divisors is an integer number (11892657).

Almost surely, 223785313 is an apocalyptic number.

It is an amenable number.

23785313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23785313 is an equidigital number, since it uses as much as digits as its factorization.

23785313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 32.

The square root of 23785313 is about 4877.0188640193. The cubic root of 23785313 is about 287.5872471186.

The spelling of 23785313 in words is "twenty-three million, seven hundred eighty-five thousand, three hundred thirteen".