165054 has 8 divisors (see below), whose sum is σ = 330120. Its totient is φ = 55016.

The previous prime is 165049. The next prime is 165059. The reversal of 165054 is 450561.

165054 = T₁₈₇ + T₁₈₈ + ... + T₁₉₅.

It is a happy number.

165054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165049) and next prime (165059).

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

165054 is an admirable number.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 165054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165059) 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, 13749 + ... + 13760.

It is an arithmetic number, because the mean of its divisors is an integer number (41265).

2¹⁶⁵⁰⁵⁴ is an apocalyptic number.

165054 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

165054 is a wasteful number, since it uses less digits than its factorization.

165054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27514.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 165054 is about 406.2683841994. The cubic root of 165054 is about 54.8540482970.

The spelling of 165054 in words is "one hundred sixty-five thousand, fifty-four".