164967 has 8 divisors (see below), whose sum is σ = 240000. Its totient is φ = 99960.

The previous prime is 164963. The next prime is 164987. The reversal of 164967 is 769461.

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 164967 - 2² = 164963 is a prime.

It is a super-2 number, since 2×164967² = 54428222178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 4999 = 164967 / (1 + 6 + 4 + 9 + 6 + 7).

164967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164963) 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, 2467 + ... + 2532.

It is an arithmetic number, because the mean of its divisors is an integer number (30000).

2¹⁶⁴⁹⁶⁷ is an apocalyptic number.

164967 is a deficient number, since it is larger than the sum of its proper divisors (75033).

164967 is a wasteful number, since it uses less digits than its factorization.

164967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013.

The product of its digits is 9072, while the sum is 33.

The square root of 164967 is about 406.1612980086. The cubic root of 164967 is about 54.8444087428.

The spelling of 164967 in words is "one hundred sixty-four thousand, nine hundred sixty-seven".