45621 has 12 divisors (see below), whose sum is σ = 68172. Its totient is φ = 29376.

The previous prime is 45613. The next prime is 45631. The reversal of 45621 is 12654.

45621 = T₃₀ + T₃₁ + ... + T₆₆.

It is a happy number.

45621 is a `hidden beast` number, since 45 + 621 = 666.

45621 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 11025 = 186^2 + 105^2 .

It is not a de Polignac number, because 45621 - 2³ = 45613 is a prime.

It is a Curzon number.

45621 is a lucky number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 45594 and 45603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (5681).

2⁴⁵⁶²¹ is an apocalyptic number.

It is an amenable number.

45621 is a deficient number, since it is larger than the sum of its proper divisors (22551).

45621 is a wasteful number, since it uses less digits than its factorization.

45621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 45621 is about 213.5907301359. The cubic root of 45621 is about 35.7318032160.

It can be divided in two parts, 45 and 621, that added together give a palindrome (666).

The spelling of 45621 in words is "forty-five thousand, six hundred twenty-one".