36887 has 2 divisors, whose sum is σ = 36888. Its totient is φ = 36886.

The previous prime is 36877. The next prime is 36899. The reversal of 36887 is 78863.

36887 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 36887 - 2⁴ = 36871 is a prime.

It is a Chen prime.

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 36887.

It is not a weakly prime, because it can be changed into another prime (36847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18443 + 18444.

It is an arithmetic number, because the mean of its divisors is an integer number (18444).

2³⁶⁸⁸⁷ is an apocalyptic number.

36887 is a deficient number, since it is larger than the sum of its proper divisors (1).

36887 is an equidigital number, since it uses as much as digits as its factorization.

36887 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 32.

The square root of 36887 is about 192.0598864938. The cubic root of 36887 is about 33.2882613051.

The spelling of 36887 in words is "thirty-six thousand, eight hundred eighty-seven".