167013 has 24 divisors (see below), whose sum is σ = 302016. Its totient is φ = 86400.

The previous prime is 167009. The next prime is 167017. The reversal of 167013 is 310761.

167013 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (167009) and next prime (167017).

It is not a de Polignac number, because 167013 - 2² = 167009 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (12584).

2¹⁶⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

167013 is a deficient number, since it is larger than the sum of its proper divisors (135003).

167013 is a wasteful number, since it uses less digits than its factorization.

167013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 167013 is about 408.6722403100. The cubic root of 167013 is about 55.0702133573.

Adding to 167013 its reverse (310761), we get a palindrome (477774).

The spelling of 167013 in words is "one hundred sixty-seven thousand, thirteen".