36643131 has 24 divisors (see below), whose sum is σ = 63151440. Its totient is φ = 20938176.

The previous prime is 36643129. The next prime is 36643133. The reversal of 36643131 is 13134663.

36643131 is a `hidden beast` number, since 3 + 6 + 643 + 13 + 1 = 666.

36643131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36643129) and next prime (36643133).

It is not a de Polignac number, because 36643131 - 2¹ = 36643129 is a prime.

It is a super-2 number, since 2×36643131² = 2685438098966322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36643095 and 36643104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36643133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12526 + ... + 15171.

It is an arithmetic number, because the mean of its divisors is an integer number (2631310).

Almost surely, 2^36643131 is an apocalyptic number.

36643131 is a deficient number, since it is larger than the sum of its proper divisors (26508309).

36643131 is a wasteful number, since it uses less digits than its factorization.

36643131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27720 (or 27707 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 36643131 is about 6053.3570025235. The cubic root of 36643131 is about 332.1474009190.

Adding to 36643131 its reverse (13134663), we get a palindrome (49777794).

The spelling of 36643131 in words is "thirty-six million, six hundred forty-three thousand, one hundred thirty-one".