10005438 has 16 divisors (see below), whose sum is σ = 21064320. Its totient is φ = 3159576.

The previous prime is 10005431. The next prime is 10005451. The reversal of 10005438 is 83450001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005431) 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, 43770 + ... + 43997.

It is an arithmetic number, because the mean of its divisors is an integer number (1316520).

Almost surely, 2^10005438 is an apocalyptic number.

10005438 is an abundant number, since it is smaller than the sum of its proper divisors (11058882).

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

10005438 is a wasteful number, since it uses less digits than its factorization.

10005438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87791.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10005438 is about 3163.1373666030. The cubic root of 10005438 is about 215.4825146459.

Adding to 10005438 its reverse (83450001), we get a palindrome (93455439).

The spelling of 10005438 in words is "ten million, five thousand, four hundred thirty-eight".