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15313 is a prime number
BaseRepresentation
bin11101111010001
3210000011
43233101
5442223
6154521
762434
oct35721
923004
1015313
1110561
128a41
136c7c
14581b
15480d
hex3bd1

15313 has 2 divisors, whose sum is σ = 15314. Its totient is φ = 15312.

The previous prime is 15307. The next prime is 15319. The reversal of 15313 is 31351.

15313 = 872 + 882.

It is a balanced prime because it is at equal distance from previous prime (15307) and next prime (15319).

It can be written as a sum of positive squares in only one way, i.e., 7744 + 7569 = 88^2 + 87^2 .

It is a cyclic number.

It is not a de Polignac number, because 15313 - 213 = 7121 is a prime.

15313 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 15293 and 15302.

It is not a weakly prime, because it can be changed into another prime (15319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7656 + 7657.

It is an arithmetic number, because the mean of its divisors is an integer number (7657).

215313 is an apocalyptic number.

15313 is the 88-th centered square number.

It is an amenable number.

15313 is a deficient number, since it is larger than the sum of its proper divisors (1).

15313 is an equidigital number, since it uses as much as digits as its factorization.

15313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45, while the sum is 13.

The square root of 15313 is about 123.7457069962. The cubic root of 15313 is about 24.8324799891.

Adding to 15313 its reverse (31351), we get a palindrome (46664).

The spelling of 15313 in words is "fifteen thousand, three hundred thirteen".