10414313 has 12 divisors (see below), whose sum is σ = 13047300. Its totient is φ = 8239392.

The previous prime is 10414309. The next prime is 10414321. The reversal of 10414313 is 31341401.

It can be written as a sum of positive squares in 2 ways, for example, as 1605289 + 8809024 = 1267^2 + 2968^2 .

It is not a de Polignac number, because 10414313 - 2² = 10414309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10414291 and 10414300.

It is not an unprimeable number, because it can be changed into a prime (10414363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7538 + ... + 8811.

It is an arithmetic number, because the mean of its divisors is an integer number (1087275).

Almost surely, 2^10414313 is an apocalyptic number.

10414313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10414313 is a deficient number, since it is larger than the sum of its proper divisors (2632987).

10414313 is a wasteful number, since it uses less digits than its factorization.

10414313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16376 (or 16369 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10414313 is about 3227.1214727680. The cubic root of 10414313 is about 218.3786660073.

Adding to 10414313 its reverse (31341401), we get a palindrome (41755714).

The spelling of 10414313 in words is "ten million, four hundred fourteen thousand, three hundred thirteen".