165354 has 32 divisors (see below), whose sum is σ = 393216. Its totient is φ = 45360.

The previous prime is 165349. The next prime is 165367. The reversal of 165354 is 453561.

165354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

165354 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (12288).

2¹⁶⁵³⁵⁴ is an apocalyptic number.

165354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196608).

165354 is an abundant number, since it is smaller than the sum of its proper divisors (227862).

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

165354 is a wasteful number, since it uses less digits than its factorization.

165354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170.

The product of its digits is 1800, while the sum is 24.

The square root of 165354 is about 406.6374306431. The cubic root of 165354 is about 54.8872621833.

The spelling of 165354 in words is "one hundred sixty-five thousand, three hundred fifty-four".