165465 has 12 divisors (see below), whose sum is σ = 286884. Its totient is φ = 88224.

The previous prime is 165463. The next prime is 165469. The reversal of 165465 is 564561.

It is a happy number.

165465 is a `hidden beast` number, since 1 + 654 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 68121 = 312^2 + 261^2 .

It is not a de Polignac number, because 165465 - 2¹ = 165463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1794 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (23907).

2¹⁶⁵⁴⁶⁵ is an apocalyptic number.

165465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165465 is a deficient number, since it is larger than the sum of its proper divisors (121419).

165465 is a wasteful number, since it uses less digits than its factorization.

165465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3685 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 165465 is about 406.7738929676. The cubic root of 165465 is about 54.8995411390.

It can be divided in two parts, 165 and 465, that added together give a triangular number (630 = T₃₅).

The spelling of 165465 in words is "one hundred sixty-five thousand, four hundred sixty-five".