45306 has 16 divisors (see below), whose sum is σ = 100800. Its totient is φ = 15084.

The previous prime is 45293. The next prime is 45307. The reversal of 45306 is 60354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45306.

It is not an unprimeable number, because it can be changed into a prime (45307) 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, 366 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁴⁵³⁰⁶ is an apocalyptic number.

45306 is an abundant number, since it is smaller than the sum of its proper divisors (55494).

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 (50400).

45306 is a wasteful number, since it uses less digits than its factorization.

45306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

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

The square root of 45306 is about 212.8520613008. The cubic root of 45306 is about 35.6493739018.

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

The spelling of 45306 in words is "forty-five thousand, three hundred six".