13005414 has 16 divisors (see below), whose sum is σ = 28901040. Its totient is φ = 4335120.

The previous prime is 13005413. The next prime is 13005431. The reversal of 13005414 is 41450031.

It is a happy number.

13005414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13005414² = 338281586622792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120367 + ... + 120474.

It is an arithmetic number, because the mean of its divisors is an integer number (1806315).

Almost surely, 2^13005414 is an apocalyptic number.

13005414 is an abundant number, since it is smaller than the sum of its proper divisors (15895626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005414 is a wasteful number, since it uses less digits than its factorization.

13005414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240852 (or 240846 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13005414 is about 3606.3019840274. The cubic root of 13005414 is about 235.1661055906.

Adding to 13005414 its reverse (41450031), we get a palindrome (54455445).

The spelling of 13005414 in words is "thirteen million, five thousand, four hundred fourteen".