36677 has 2 divisors, whose sum is σ = 36678. Its totient is φ = 36676.

The previous prime is 36671. The next prime is 36683. The reversal of 36677 is 77663.

36677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (36671) and next prime (36683).

It can be written as a sum of positive squares in only one way, i.e., 36481 + 196 = 191^2 + 14^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36677 is a prime.

It is a Chen prime.

It is a plaindrome in base 10.

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 36677.

It is not a weakly prime, because it can be changed into another prime (36671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18338 + 18339.

It is an arithmetic number, because the mean of its divisors is an integer number (18339).

2³⁶⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

36677 is a deficient number, since it is larger than the sum of its proper divisors (1).

36677 is an equidigital number, since it uses as much as digits as its factorization.

36677 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5292, while the sum is 29.

The square root of 36677 is about 191.5124016872. The cubic root of 36677 is about 33.2249703277.

It can be divided in two parts, 366 and 77, that multiplied together give a palindrome (28182).

The spelling of 36677 in words is "thirty-six thousand, six hundred seventy-seven".