10413 has 12 divisors (see below), whose sum is σ = 16380. Its totient is φ = 6336.

The previous prime is 10399. The next prime is 10427. The reversal of 10413 is 31401.

10413 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10399) and next prime (10427).

It can be written as a sum of positive squares in 2 ways, for example, as 1764 + 8649 = 42^2 + 93^2 .

It is not a de Polignac number, because 10413 - 2⁹ = 9901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 10395 and 10404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

2¹⁰⁴¹³ is an apocalyptic number.

10413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10413 is a deficient number, since it is larger than the sum of its proper divisors (5967).

10413 is a wasteful number, since it uses less digits than its factorization.

10413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10413 is about 102.0441081102. The cubic root of 10413 is about 21.8369488150.

Subtracting from 10413 its product of nonzero digits (12), we obtain a palindrome (10401).

Adding to 10413 its reverse (31401), we get a palindrome (41814).

The spelling of 10413 in words is "ten thousand, four hundred thirteen".