Search a number
-
+
113623 is a prime number
BaseRepresentation
bin11011101111010111
312202212021
4123233113
512113443
62234011
7652156
oct335727
9182767
10113623
1178404
1255907
133c943
142d59d
15239ed
hex1bbd7

113623 has 2 divisors, whose sum is σ = 113624. Its totient is φ = 113622.

The previous prime is 113621. The next prime is 113647. The reversal of 113623 is 326311.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 113623 - 21 = 113621 is a prime.

It is a super-2 number, since 2×1136232 = 25820372258, which contains 22 as substring.

Together with 113621, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 113597 and 113606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113621) 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 as a sum of consecutive naturals, namely, 56811 + 56812.

It is an arithmetic number, because the mean of its divisors is an integer number (56812).

2113623 is an apocalyptic number.

113623 is a deficient number, since it is larger than the sum of its proper divisors (1).

113623 is an equidigital number, since it uses as much as digits as its factorization.

113623 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 16.

The square root of 113623 is about 337.0801091729. The cubic root of 113623 is about 48.4345665237.

Adding to 113623 its reverse (326311), we get a palindrome (439934).

The spelling of 113623 in words is "one hundred thirteen thousand, six hundred twenty-three".