10205997 has 24 divisors (see below), whose sum is σ = 14599200. Its totient is φ = 6339168.

The previous prime is 10205989. The next prime is 10206019. The reversal of 10205997 is 79950201.

It is not a de Polignac number, because 10205997 - 2³ = 10205989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93579 + ... + 93687.

It is an arithmetic number, because the mean of its divisors is an integer number (608300).

Almost surely, 2^10205997 is an apocalyptic number.

It is an amenable number.

10205997 is a deficient number, since it is larger than the sum of its proper divisors (4393203).

10205997 is a wasteful number, since it uses less digits than its factorization.

10205997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 10205997 is about 3194.6826133436. The cubic root of 10205997 is about 216.9127825223.

The spelling of 10205997 in words is "ten million, two hundred five thousand, nine hundred ninety-seven".