30465 has 12 divisors (see below), whose sum is σ = 52884. Its totient is φ = 16224.

The previous prime is 30449. The next prime is 30467. The reversal of 30465 is 56403.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 7056 = 153^2 + 84^2 .

It is not a de Polignac number, because 30465 - 2⁴ = 30449 is a prime.

30465 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (30467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (4407).

It is a Proth number, since it is equal to 119 ⋅ 2⁸ + 1 and 119 < 2⁸.

2³⁰⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

30465 is a deficient number, since it is larger than the sum of its proper divisors (22419).

30465 is a wasteful number, since it uses less digits than its factorization.

30465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30465 is about 174.5422584935. The cubic root of 30465 is about 31.2320430168.

Adding to 30465 its reverse (56403), we get a palindrome (86868).

The spelling of 30465 in words is "thirty thousand, four hundred sixty-five".