1065 has 8 divisors (see below), whose sum is σ = 1728. Its totient is φ = 560.

The previous prime is 1063. The next prime is 1069. The reversal of 1065 is 5601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1065 - 2¹ = 1063 is a prime.

It is a super-2 number, since 2×1065² = 2268450, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 1065.

It is not an unprimeable number, because it can be changed into a prime (1061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 50.

It is an arithmetic number, because the mean of its divisors is an integer number (216).

2¹⁰⁶⁵ is an apocalyptic number.

1065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1065 is a deficient number, since it is larger than the sum of its proper divisors (663).

1065 is an equidigital number, since it uses as much as digits as its factorization.

1065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1065 is about 32.6343377442. The cubic root of 1065 is about 10.2121347312.

Subtracting from 1065 its product of nonzero digits (30), we obtain a triangular number (1035 = T₄₅).

Adding to 1065 its reverse (5601), we get a palindrome (6666).

It can be divided in two parts, 106 and 5, that added together give a palindrome (111).

The spelling of 1065 in words is "one thousand, sixty-five".