165954 has 16 divisors (see below), whose sum is σ = 351648. Its totient is φ = 52032.

The previous prime is 165947. The next prime is 165961. The reversal of 165954 is 459561.

It is an interprime number because it is at equal distance from previous prime (165947) and next prime (165961).

It is a Curzon number.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (21978).

2¹⁶⁵⁹⁵⁴ is an apocalyptic number.

165954 is an abundant number, since it is smaller than the sum of its proper divisors (185694).

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

165954 is a wasteful number, since it uses less digits than its factorization.

165954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649.

The product of its digits is 5400, while the sum is 30.

The square root of 165954 is about 407.3745205582. The cubic root of 165954 is about 54.9535696305.

The spelling of 165954 in words is "one hundred sixty-five thousand, nine hundred fifty-four".