10682713 has 2 divisors, whose sum is σ = 10682714. Its totient is φ = 10682712.

The previous prime is 10682689. The next prime is 10682729. The reversal of 10682713 is 31728601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8714304 + 1968409 = 2952^2 + 1403^2 .

It is a cyclic number.

It is not a de Polignac number, because 10682713 - 2⁹ = 10682201 is a prime.

It is a super-2 number, since 2×10682713² = 228240714080738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10686713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5341356 + 5341357.

It is an arithmetic number, because the mean of its divisors is an integer number (5341357).

Almost surely, 2^10682713 is an apocalyptic number.

It is an amenable number.

10682713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10682713 is an equidigital number, since it uses as much as digits as its factorization.

10682713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 10682713 is about 3268.4419835757. The cubic root of 10682713 is about 220.2388109239.

It can be divided in two parts, 106 and 82713, that multiplied together give a triangular number (8767578 = T₄₁₈₇).

The spelling of 10682713 in words is "ten million, six hundred eighty-two thousand, seven hundred thirteen".