973167 has 8 divisors (see below), whose sum is σ = 1397424. Its totient is φ = 598848.

The previous prime is 973151. The next prime is 973169. The reversal of 973167 is 761379.

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

It is not a de Polignac number, because 973167 - 2⁴ = 973151 is a prime.

973167 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973167.

It is not an unprimeable number, because it can be changed into a prime (973169) 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, 12438 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (174678).

2⁹⁷³¹⁶⁷ is an apocalyptic number.

973167 is a deficient number, since it is larger than the sum of its proper divisors (424257).

973167 is a wasteful number, since it uses less digits than its factorization.

973167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24969.

The product of its digits is 7938, while the sum is 33.

The square root of 973167 is about 986.4922706235. The cubic root of 973167 is about 99.0974451211.

It can be divided in two parts, 9 and 73167, that multiplied together give a cube (658503 = 87³).

The spelling of 973167 in words is "nine hundred seventy-three thousand, one hundred sixty-seven".