10205713 has 4 divisors (see below), whose sum is σ = 11663680. Its totient is φ = 8747748.

The previous prime is 10205711. The next prime is 10205731. The reversal of 10205713 is 31750201.

10205713 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10205713 - 2¹ = 10205711 is a prime.

10205713 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10205711) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 728973 + ... + 728986.

It is an arithmetic number, because the mean of its divisors is an integer number (2915920).

Almost surely, 2^10205713 is an apocalyptic number.

It is an amenable number.

10205713 is a deficient number, since it is larger than the sum of its proper divisors (1457967).

10205713 is an equidigital number, since it uses as much as digits as its factorization.

10205713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457966.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 10205713 is about 3194.6381641745. The cubic root of 10205713 is about 216.9107705091.

Adding to 10205713 its reverse (31750201), we get a palindrome (41955914).

The spelling of 10205713 in words is "ten million, two hundred five thousand, seven hundred thirteen".