164451 has 16 divisors (see below), whose sum is σ = 258048. Its totient is φ = 91200.

The previous prime is 164449. The next prime is 164471. The reversal of 164451 is 154461.

164451 is a nontrivial binomial coefficient, being equal to C(574, 2).

It is not a de Polignac number, because 164451 - 2¹ = 164449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (164431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2¹⁶⁴⁴⁵¹ is an apocalyptic number.

164451 is the 573-rd triangular number and also the 287-th hexagonal number.

164451 is a deficient number, since it is larger than the sum of its proper divisors (93597).

164451 is a wasteful number, since it uses less digits than its factorization.

164451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its digits is 480, while the sum is 21.

The square root of 164451 is about 405.5255848895. The cubic root of 164451 is about 54.7871664408.

The spelling of 164451 in words is "one hundred sixty-four thousand, four hundred fifty-one".