165744 has 30 divisors (see below), whose sum is σ = 464256. Its totient is φ = 55200.

The previous prime is 165721. The next prime is 165749. The reversal of 165744 is 447561.

165744 is a `hidden beast` number, since 1 + 657 + 4 + 4 = 666.

It is a plaindrome in base 14.

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 165744.

It is not an unprimeable number, because it can be changed into a prime (165749) by changing a digit.

165744 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 5 ways as a sum of consecutive naturals, for example, 432 + ... + 719.

2¹⁶⁵⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

165744 is an abundant number, since it is smaller than the sum of its proper divisors (298512).

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

165744 is a wasteful number, since it uses less digits than its factorization.

165744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1156 counting only the distinct ones).

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

The square root of 165744 is about 407.1166908885. The cubic root of 165744 is about 54.9303802311.

It can be divided in two parts, 165 and 744, that multiplied together give a triangular number (122760 = T₄₉₅).

The spelling of 165744 in words is "one hundred sixty-five thousand, seven hundred forty-four".