107713 has 2 divisors, whose sum is σ = 107714. Its totient is φ = 107712.

The previous prime is 107699. The next prime is 107717. The reversal of 107713 is 317701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106929 + 784 = 327^2 + 28^2 .

It is an emirp because it is prime and its reverse (317701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107713 - 2⁹ = 107201 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (107717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53856 + 53857.

It is an arithmetic number, because the mean of its divisors is an integer number (53857).

2¹⁰⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

107713 is a deficient number, since it is larger than the sum of its proper divisors (1).

107713 is an equidigital number, since it uses as much as digits as its factorization.

107713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 107713 is about 328.1965874289. The cubic root of 107713 is about 47.5798104242.

It can be divided in two parts, 107 and 713, that added together give a triangular number (820 = T₄₀).

The spelling of 107713 in words is "one hundred seven thousand, seven hundred thirteen".