36267131 has 2 divisors, whose sum is σ = 36267132. Its totient is φ = 36267130.

The previous prime is 36267089. The next prime is 36267169. The reversal of 36267131 is 13176263.

36267131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 36267131 - 2²² = 32072827 is a prime.

It is a super-2 number, since 2×36267131² = 2630609581942322, which contains 22 as substring.

It is a Chen prime.

It is equal to p_2219627 and since 36267131 and 2219627 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 36267094 and 36267103.

It is not a weakly prime, because it can be changed into another prime (36267191) 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 as a sum of consecutive naturals, namely, 18133565 + 18133566.

It is an arithmetic number, because the mean of its divisors is an integer number (18133566).

Almost surely, 2^36267131 is an apocalyptic number.

36267131 is a deficient number, since it is larger than the sum of its proper divisors (1).

36267131 is an equidigital number, since it uses as much as digits as its factorization.

36267131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 29.

The square root of 36267131 is about 6022.2197734722. The cubic root of 36267131 is about 331.0074233997.

The spelling of 36267131 in words is "thirty-six million, two hundred sixty-seven thousand, one hundred thirty-one".