10277713 has 2 divisors, whose sum is σ = 10277714. Its totient is φ = 10277712.

The previous prime is 10277699. The next prime is 10277737. The reversal of 10277713 is 31777201.

10277713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8720209 + 1557504 = 2953^2 + 1248^2 .

It is a cyclic number.

It is not a de Polignac number, because 10277713 - 2¹³ = 10269521 is a prime.

It is not a weakly prime, because it can be changed into another prime (10277413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5138856 + 5138857.

It is an arithmetic number, because the mean of its divisors is an integer number (5138857).

Almost surely, 2^10277713 is an apocalyptic number.

It is an amenable number.

10277713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10277713 is an equidigital number, since it uses as much as digits as its factorization.

10277713 is an evil number, because the sum of its binary digits is even.

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

The square root of 10277713 is about 3205.8872406870. The cubic root of 10277713 is about 217.4196682243.

It can be divided in two parts, 102 and 77713, that added together give a triangular number (77815 = T₃₉₄).

The spelling of 10277713 in words is "ten million, two hundred seventy-seven thousand, seven hundred thirteen".