967167 has 16 divisors (see below), whose sum is σ = 1450080. Its totient is φ = 637056.

The previous prime is 967139. The next prime is 967171. The reversal of 967167 is 761769.

It is not a de Polignac number, because 967167 - 2¹⁴ = 950783 is a prime.

967167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967567) 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, 2893 + ... + 3209.

It is an arithmetic number, because the mean of its divisors is an integer number (90630).

2⁹⁶⁷¹⁶⁷ is an apocalyptic number.

967167 is a deficient number, since it is larger than the sum of its proper divisors (482913).

967167 is a wasteful number, since it uses less digits than its factorization.

967167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 967167 is about 983.4464906643. The cubic root of 967167 is about 98.8933654405.

It can be divided in two parts, 9 and 67167, that added together give a palindrome (67176).

The spelling of 967167 in words is "nine hundred sixty-seven thousand, one hundred sixty-seven".