15413 has 2 divisors, whose sum is σ = 15414. Its totient is φ = 15412.

The previous prime is 15401. The next prime is 15427. The reversal of 15413 is 31451.

15413 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (15427) can be obtained adding 15413 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14884 + 529 = 122^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 15413 - 2⁶ = 15349 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7706 + 7707.

It is an arithmetic number, because the mean of its divisors is an integer number (7707).

2¹⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

15413 is a deficient number, since it is larger than the sum of its proper divisors (1).

15413 is an equidigital number, since it uses as much as digits as its factorization.

15413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 60, while the sum is 14.

The square root of 15413 is about 124.1491039033. The cubic root of 15413 is about 24.8864180807.

Adding to 15413 its reverse (31451), we get a palindrome (46864).

It can be divided in two parts, 154 and 13, that multiplied together give a palindrome (2002).

The spelling of 15413 in words is "fifteen thousand, four hundred thirteen".