10415 has 4 divisors (see below), whose sum is σ = 12504. Its totient is φ = 8328.

The previous prime is 10399. The next prime is 10427. The reversal of 10415 is 51401.

10415 = 2² + 3² + ... + 31².

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10415 - 2⁴ = 10399 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 10396 and 10405.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10415.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1037 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (3126).

10415 is a deficient number, since it is larger than the sum of its proper divisors (2089).

10415 is an equidigital number, since it uses as much as digits as its factorization.

10415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 10415 is about 102.0539073235. The cubic root of 10415 is about 21.8383467823.

Subtracting from 10415 its sum of digits (11), we obtain a square (10404 = 102²).

Adding to 10415 its reverse (51401), we get a palindrome (61816).

The spelling of 10415 in words is "ten thousand, four hundred fifteen".