10727713 has 6 divisors (see below), whose sum is σ = 10840466. Its totient is φ = 10616112.

The previous prime is 10727711. The next prime is 10727719. The reversal of 10727713 is 31772701.

It can be written as a sum of positive squares in only one way, i.e., 6594624 + 4133089 = 2568^2 + 2033^2 .

It is not a de Polignac number, because 10727713 - 2¹ = 10727711 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10727711) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10981 + ... + 11917.

Almost surely, 2^10727713 is an apocalyptic number.

It is an amenable number.

10727713 is a deficient number, since it is larger than the sum of its proper divisors (112753).

10727713 is an frugal number, since it uses more digits than its factorization.

10727713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 28.

The square root of 10727713 is about 3275.3187631130. The cubic root of 10727713 is about 220.5476233299.

The spelling of 10727713 in words is "ten million, seven hundred twenty-seven thousand, seven hundred thirteen".