164971 has 4 divisors (see below), whose sum is σ = 166000. Its totient is φ = 163944.

The previous prime is 164963. The next prime is 164987. The reversal of 164971 is 179461.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 164971 - 2³ = 164963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (41500).

2¹⁶⁴⁹⁷¹ is an apocalyptic number.

164971 is the 235-th hex number.

164971 is a deficient number, since it is larger than the sum of its proper divisors (1029).

164971 is an equidigital number, since it uses as much as digits as its factorization.

164971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028.

The product of its digits is 1512, while the sum is 28.

The square root of 164971 is about 406.1662221308. The cubic root of 164971 is about 54.8448520150.

The spelling of 164971 in words is "one hundred sixty-four thousand, nine hundred seventy-one".