10005634 has 4 divisors (see below), whose sum is σ = 15008454. Its totient is φ = 5002816.

The previous prime is 10005631. The next prime is 10005641. The reversal of 10005634 is 43650001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 43650001 = 1291 ⋅33811.

It can be written as a sum of positive squares in only one way, i.e., 8037225 + 1968409 = 2835^2 + 1403^2 .

It is a super-2 number, since 2×10005634² = 200225423483912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2501407 + ... + 2501410.

Almost surely, 2^10005634 is an apocalyptic number.

10005634 is a deficient number, since it is larger than the sum of its proper divisors (5002820).

10005634 is an equidigital number, since it uses as much as digits as its factorization.

10005634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002819.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 10005634 is about 3163.1683483495. The cubic root of 10005634 is about 215.4839216906.

Adding to 10005634 its reverse (43650001), we get a palindrome (53655635).

The spelling of 10005634 in words is "ten million, five thousand, six hundred thirty-four".