164754 has 28 divisors (see below), whose sum is σ = 373806. Its totient is φ = 54432.

The previous prime is 164743. The next prime is 164767. The reversal of 164754 is 457461.

It can be written as a sum of positive squares in only one way, i.e., 164025 + 729 = 405^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164754.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 1402 + ... + 1514.

2¹⁶⁴⁷⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186903).

164754 is an abundant number, since it is smaller than the sum of its proper divisors (209052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164754 is an equidigital number, since it uses as much as digits as its factorization.

164754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 164754 is about 405.8990022161. The cubic root of 164754 is about 54.8207941403.

The spelling of 164754 in words is "one hundred sixty-four thousand, seven hundred fifty-four".