16065 has 32 divisors (see below), whose sum is σ = 34560. Its totient is φ = 6912.

The previous prime is 16063. The next prime is 16067. The reversal of 16065 is 56061.

It is an interprime number because it is at equal distance from previous prime (16063) and next prime (16067).

It is not a de Polignac number, because 16065 - 2¹ = 16063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2¹⁶⁰⁶⁵ is an apocalyptic number.

16065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16065 is an abundant number, since it is smaller than the sum of its proper divisors (18495).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

16065 is a wasteful number, since it uses less digits than its factorization.

16065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 16065 is about 126.7477810457. The cubic root of 16065 is about 25.2324977556.

It can be divided in two parts, 160 and 65, that added together give a square (225 = 15²).

The spelling of 16065 in words is "sixteen thousand, sixty-five".