36877 has 2 divisors, whose sum is σ = 36878. Its totient is φ = 36876.

The previous prime is 36871. The next prime is 36887. The reversal of 36877 is 77863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 1156 = 189^2 + 34^2 .

It is an emirp because it is prime and its reverse (77863) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36877 - 2⁷ = 36749 is a prime.

It is a d-powerful number, because it can be written as 3⁹ + 6² + 8 + 7³ + 7⁵ .

36877 is a lucky number.

It is a nialpdrome in base 14.

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 36877.

It is not a weakly prime, because it can be changed into another prime (36871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18438 + 18439.

It is an arithmetic number, because the mean of its divisors is an integer number (18439).

2³⁶⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

36877 is a deficient number, since it is larger than the sum of its proper divisors (1).

36877 is an equidigital number, since it uses as much as digits as its factorization.

36877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 31.

The square root of 36877 is about 192.0338511825. The cubic root of 36877 is about 33.2852529037.

The spelling of 36877 in words is "thirty-six thousand, eight hundred seventy-seven".