36671 has 2 divisors, whose sum is σ = 36672. Its totient is φ = 36670.

The previous prime is 36653. The next prime is 36677. The reversal of 36671 is 17663.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 36671 - 2⁶ = 36607 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18335 + 18336.

It is an arithmetic number, because the mean of its divisors is an integer number (18336).

2³⁶⁶⁷¹ is an apocalyptic number.

36671 is a deficient number, since it is larger than the sum of its proper divisors (1).

36671 is an equidigital number, since it uses as much as digits as its factorization.

36671 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 23.

The square root of 36671 is about 191.4967362646. The cubic root of 36671 is about 33.2231584684.

It can be divided in two parts, 36 and 671, that added together give a palindrome (707).

The spelling of 36671 in words is "thirty-six thousand, six hundred seventy-one".