165736 has 8 divisors (see below), whose sum is σ = 310770. Its totient is φ = 82864.

The previous prime is 165721. The next prime is 165749. The reversal of 165736 is 637561.

It can be written as a sum of positive squares in only one way, i.e., 164836 + 900 = 406^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 1 + 6⁴ + 7⁶ + 5³ + 3² + 6⁶ .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10351 + ... + 10366.

2¹⁶⁵⁷³⁶ is an apocalyptic number.

It is an amenable number.

165736 is a deficient number, since it is larger than the sum of its proper divisors (145034).

165736 is a wasteful number, since it uses less digits than its factorization.

165736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20723 (or 20719 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 165736 is about 407.1068655771. The cubic root of 165736 is about 54.9294964382.

The spelling of 165736 in words is "one hundred sixty-five thousand, seven hundred thirty-six".