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13713823 is a prime number
BaseRepresentation
bin110100010100…
…000110011111
3221210201211101
4310110012133
512002320243
61205533531
7224364664
oct64240637
927721741
1013713823
117817442
1247142a7
132ac20b6
141b6da6b
15130d54d
hexd1419f

13713823 has 2 divisors, whose sum is σ = 13713824. Its totient is φ = 13713822.

The previous prime is 13713779. The next prime is 13713829. The reversal of 13713823 is 32831731.

13713823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (32831731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13713823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13713791 and 13713800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13713829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6856911 + 6856912.

It is an arithmetic number, because the mean of its divisors is an integer number (6856912).

Almost surely, 213713823 is an apocalyptic number.

13713823 is a deficient number, since it is larger than the sum of its proper divisors (1).

13713823 is an equidigital number, since it uses as much as digits as its factorization.

13713823 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 28.

The square root of 13713823 is about 3703.2179249944. The cubic root of 13713823 is about 239.3607001981.

It can be divided in two parts, 1371382 and 3, that multiplied together give a triangular number (4114146 = T2868).

The spelling of 13713823 in words is "thirteen million, seven hundred thirteen thousand, eight hundred twenty-three".