164951 has 8 divisors (see below), whose sum is σ = 180864. Its totient is φ = 149760.

The previous prime is 164911. The next prime is 164953. The reversal of 164951 is 159461.

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

It is a cyclic number.

It is not a de Polignac number, because 164951 - 2¹⁰ = 163927 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 164951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164953) 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, 371 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (22608).

2¹⁶⁴⁹⁵¹ is an apocalyptic number.

164951 is a deficient number, since it is larger than the sum of its proper divisors (15913).

164951 is a wasteful number, since it uses less digits than its factorization.

164951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361.

The product of its digits is 1080, while the sum is 26.

The square root of 164951 is about 406.1416009226. The cubic root of 164951 is about 54.8426355823.

The spelling of 164951 in words is "one hundred sixty-four thousand, nine hundred fifty-one".