36621 has 12 divisors (see below), whose sum is σ = 57148. Its totient is φ = 22464.

The previous prime is 36607. The next prime is 36629. The reversal of 36621 is 12663.

Added to its reverse (12663) it gives a square (49284 = 222²).

36621 = T₃₈ + T₃₉ + ... + T₆₄.

It is a happy number.

36621 is a `hidden beast` number, since 3 + 662 + 1 = 666.

36621 is digitally balanced in base 2, because in such base 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 2025 + 34596 = 45^2 + 186^2 .

It is not a de Polignac number, because 36621 - 2⁷ = 36493 is a prime.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 36594 and 36603.

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 36621.

It is not an unprimeable number, because it can be changed into a prime (36629) 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, 40 + ... + 273.

2³⁶⁶²¹ is an apocalyptic number.

It is an amenable number.

36621 is a deficient number, since it is larger than the sum of its proper divisors (20527).

36621 is a wasteful number, since it uses less digits than its factorization.

36621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 329 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 36621 is about 191.3661412058. The cubic root of 36621 is about 33.2080519494.

Adding to 36621 its reverse (12663), we get a square (49284 = 222²).

It can be divided in two parts, 3662 and 1, that added together give a palindrome (3663).

The spelling of 36621 in words is "thirty-six thousand, six hundred twenty-one".