10005414 has 16 divisors (see below), whose sum is σ = 20881152. Its totient is φ = 3190088.

The previous prime is 10005389. The next prime is 10005421. The reversal of 10005414 is 41450001.

10005414 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 2×10005414² = 200216618622792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005393 and 10005402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36114 + ... + 36389.

It is an arithmetic number, because the mean of its divisors is an integer number (1305072).

Almost surely, 2^10005414 is an apocalyptic number.

10005414 is an abundant number, since it is smaller than the sum of its proper divisors (10875738).

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

10005414 is a wasteful number, since it uses less digits than its factorization.

10005414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72531.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10005414 is about 3163.1335728989. The cubic root of 10005414 is about 215.4823423534.

Adding to 10005414 its reverse (41450001), we get a palindrome (51455415).

The spelling of 10005414 in words is "ten million, five thousand, four hundred fourteen".