66465 has 24 divisors (see below), whose sum is σ = 132288. Its totient is φ = 30240.

The previous prime is 66463. The next prime is 66467. The reversal of 66465 is 56466.

66465 = 36² + 37² + ... + 62².

It is an interprime number because it is at equal distance from previous prime (66463) and next prime (66467).

It is not a de Polignac number, because 66465 - 2¹ = 66463 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66465.

It is not an unprimeable number, because it can be changed into a prime (66463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (5512).

2⁶⁶⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

66465 is a deficient number, since it is larger than the sum of its proper divisors (65823).

66465 is a wasteful number, since it uses less digits than its factorization.

66465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 226 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 66465 is about 257.8080681437. The cubic root of 66465 is about 40.5070860944.

Subtracting from 66465 its reverse (56466), we obtain a palindrome (9999).

It can be divided in two parts, 664 and 65, that added together give a 6-th power (729 = 3⁶).

The spelling of 66465 in words is "sixty-six thousand, four hundred sixty-five".