45356 has 24 divisors (see below), whose sum is σ = 90720. Its totient is φ = 19712.

The previous prime is 45343. The next prime is 45361. The reversal of 45356 is 65354.

45356 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45356.

It is an unprimeable 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, 1550 + ... + 1578.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁴⁵³⁵⁶ is an apocalyptic number.

45356 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

45356 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

45356 is a wasteful number, since it uses less digits than its factorization.

45356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

The product of its digits is 1800, while the sum is 23.

The square root of 45356 is about 212.9694813817. The cubic root of 45356 is about 35.6624833750.

The spelling of 45356 in words is "forty-five thousand, three hundred fifty-six".