978167 has 8 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 920920.

The previous prime is 978157. The next prime is 978179. The reversal of 978167 is 761879.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 978167 - 2⁴ = 978151 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 978167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1334 + ... + 1932.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

2⁹⁷⁸¹⁶⁷ is an apocalyptic number.

978167 is a deficient number, since it is larger than the sum of its proper divisors (58633).

978167 is a wasteful number, since it uses less digits than its factorization.

978167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693.

The product of its digits is 21168, while the sum is 38.

The square root of 978167 is about 989.0232555405. The cubic root of 978167 is about 99.2668716969.

The spelling of 978167 in words is "nine hundred seventy-eight thousand, one hundred sixty-seven".