30645 has 16 divisors (see below), whose sum is σ = 54720. Its totient is φ = 16272.

The previous prime is 30643. The next prime is 30649. The reversal of 30645 is 54603.

It is a happy number.

It is not a de Polignac number, because 30645 - 2¹ = 30643 is a prime.

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22 + ... + 248.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2³⁰⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

30645 is a deficient number, since it is larger than the sum of its proper divisors (24075).

30645 is a wasteful number, since it uses less digits than its factorization.

30645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

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

The square root of 30645 is about 175.0571335307. The cubic root of 30645 is about 31.2934329399.

It can be divided in two parts, 306 and 45, that added together give a triangular number (351 = T₂₆).

The spelling of 30645 in words is "thirty thousand, six hundred forty-five".