10005997 has 2 divisors, whose sum is σ = 10005998. Its totient is φ = 10005996.

The previous prime is 10005977. The next prime is 10006001. The reversal of 10005997 is 79950001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9821956 + 184041 = 3134^2 + 429^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002998 + 5002999.

It is an arithmetic number, because the mean of its divisors is an integer number (5002999).

Almost surely, 2^10005997 is an apocalyptic number.

It is an amenable number.

10005997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005997 is an equidigital number, since it uses as much as digits as its factorization.

10005997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 10005997 is about 3163.2257270072. The cubic root of 10005997 is about 215.4865275464.

Adding to 10005997 its reverse (79950001), we get a palindrome (89955998).

The spelling of 10005997 in words is "ten million, five thousand, nine hundred ninety-seven".