36131 has 2 divisors, whose sum is σ = 36132. Its totient is φ = 36130.

The previous prime is 36109. The next prime is 36137. The reversal of 36131 is 13163.

It is a strong prime.

It is an emirp because it is prime and its reverse (13163) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36131 - 2⁶ = 36067 is a prime.

It is a super-2 number, since 2×36131² = 2610898322, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36131.

It is not a weakly prime, because it can be changed into another prime (36137) by changing a digit.

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 as a sum of consecutive naturals, namely, 18065 + 18066.

It is an arithmetic number, because the mean of its divisors is an integer number (18066).

2³⁶¹³¹ is an apocalyptic number.

36131 is a deficient number, since it is larger than the sum of its proper divisors (1).

36131 is an equidigital number, since it uses as much as digits as its factorization.

36131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 14.

The square root of 36131 is about 190.0815614414. The cubic root of 36131 is about 33.0592751609.

Adding to 36131 its reverse (13163), we get a palindrome (49294).

The spelling of 36131 in words is "thirty-six thousand, one hundred thirty-one".