128713 has 4 divisors (see below), whose sum is σ = 138628. Its totient is φ = 118800.

The previous prime is 128693. The next prime is 128717. The reversal of 128713 is 317821.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 317821 = 7 ⋅45403.

It can be written as a sum of positive squares in 2 ways, for example, as 76729 + 51984 = 277^2 + 228^2 .

It is a cyclic number.

It is not a de Polignac number, because 128713 - 2⁹ = 128201 is a prime.

It is a deceptive number, since it divides R₁₂₈₇₁₂.

It is a Duffinian number.

128713 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (128717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4938 + ... + 4963.

It is an arithmetic number, because the mean of its divisors is an integer number (34657).

2¹²⁸⁷¹³ is an apocalyptic number.

128713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

128713 is a deficient number, since it is larger than the sum of its proper divisors (9915).

128713 is an equidigital number, since it uses as much as digits as its factorization.

128713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9914.

The product of its digits is 336, while the sum is 22.

The square root of 128713 is about 358.7659404124. The cubic root of 128713 is about 50.4902441698.

It can be divided in two parts, 128 and 713, that added together give a square (841 = 29²).

The spelling of 128713 in words is "one hundred twenty-eight thousand, seven hundred thirteen".