10414 has 8 divisors (see below), whose sum is σ = 16128. Its totient is φ = 5040.

The previous prime is 10399. The next prime is 10427. The reversal of 10414 is 41401.

10414 is nontrivially palindromic in base 9.

10414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 10414.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

2¹⁰⁴¹⁴ is an apocalyptic number.

10414 is a deficient number, since it is larger than the sum of its proper divisors (5714).

10414 is a wasteful number, since it uses less digits than its factorization.

10414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10414 is about 102.0490078345. The cubic root of 10414 is about 21.8376478210.

Subtracting from 10414 its sum of digits (10), we obtain a square (10404 = 102²).

Adding to 10414 its reverse (41401), we get a palindrome (51815).

It can be divided in two parts, 10 and 414, that added together give a palindrome (424).

The spelling of 10414 in words is "ten thousand, four hundred fourteen", and thus it is an iban number.