10005981 has 12 divisors (see below), whose sum is σ = 13561632. Its totient is φ = 6562248.

The previous prime is 10005977. The next prime is 10005997. The reversal of 10005981 is 18950001.

10005981 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10005981 - 2² = 10005977 is a prime.

It is a super-2 number, since 2×10005981² = 200239311544722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005581) 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, 13096 + ... + 13838.

It is an arithmetic number, because the mean of its divisors is an integer number (1130136).

Almost surely, 2^10005981 is an apocalyptic number.

It is an amenable number.

10005981 is a deficient number, since it is larger than the sum of its proper divisors (3555651).

10005981 is an frugal number, since it uses more digits than its factorization.

10005981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 10005981 is about 3163.2231979423. The cubic root of 10005981 is about 215.4864126891.

Adding to 10005981 its reverse (18950001), we get a palindrome (28955982).

The spelling of 10005981 in words is "ten million, five thousand, nine hundred eighty-one".