997167 has 8 divisors (see below), whose sum is σ = 1351600. Its totient is φ = 653760.

The previous prime is 997163. The next prime is 997201. The reversal of 997167 is 761799.

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

It is not a de Polignac number, because 997167 - 2² = 997163 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997163) 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, 2542 + ... + 2907.

It is an arithmetic number, because the mean of its divisors is an integer number (168950).

2⁹⁹⁷¹⁶⁷ is an apocalyptic number.

997167 is a deficient number, since it is larger than the sum of its proper divisors (354433).

997167 is a wasteful number, since it uses less digits than its factorization.

997167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513.

The product of its digits is 23814, while the sum is 39.

The square root of 997167 is about 998.5824953403. The cubic root of 997167 is about 99.9054773495.

It can be divided in two parts, 9 and 97167, that multiplied together give a triangular number (874503 = T₁₃₂₂).

The spelling of 997167 in words is "nine hundred ninety-seven thousand, one hundred sixty-seven".