167713 has 16 divisors (see below), whose sum is σ = 219520. Its totient is φ = 124416.

The previous prime is 167711. The next prime is 167729. The reversal of 167713 is 317761.

It is a 5-Lehmer number, since φ(167713) divides (167713-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 167713 - 2¹ = 167711 is a prime.

167713 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (167711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1681 + ... + 1777.

It is an arithmetic number, because the mean of its divisors is an integer number (13720).

2¹⁶⁷⁷¹³ is an apocalyptic number.

167713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

167713 is a deficient number, since it is larger than the sum of its proper divisors (51807).

167713 is a wasteful number, since it uses less digits than its factorization.

167713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its digits is 882, while the sum is 25.

The square root of 167713 is about 409.5277768357. The cubic root of 167713 is about 55.1470445372.

The spelling of 167713 in words is "one hundred sixty-seven thousand, seven hundred thirteen".