45606 has 16 divisors (see below), whose sum is σ = 99648. Its totient is φ = 13800.

The previous prime is 45599. The next prime is 45613. The reversal of 45606 is 60654.

It is an interprime number because it is at equal distance from previous prime (45599) and next prime (45613).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45606.

It is an unprimeable number.

45606 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 280 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (6228).

2⁴⁵⁶⁰⁶ is an apocalyptic number.

45606 is an abundant number, since it is smaller than the sum of its proper divisors (54042).

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 (49824).

45606 is a wasteful number, since it uses less digits than its factorization.

45606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 45606 is about 213.5556133657. Note that the first 3 decimals coincide. The cubic root of 45606 is about 35.7278866293.

The spelling of 45606 in words is "forty-five thousand, six hundred six".