36967 has 4 divisors (see below), whose sum is σ = 42256. Its totient is φ = 31680.

The previous prime is 36947. The next prime is 36973. The reversal of 36967 is 76963.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 36967 - 2¹¹ = 34919 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

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 36967.

It is not an unprimeable number, because it can be changed into a prime (36947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2634 + ... + 2647.

It is an arithmetic number, because the mean of its divisors is an integer number (10564).

2³⁶⁹⁶⁷ is an apocalyptic number.

36967 is a deficient number, since it is larger than the sum of its proper divisors (5289).

36967 is an equidigital number, since it uses as much as digits as its factorization.

36967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288.

The product of its digits is 6804, while the sum is 31.

The square root of 36967 is about 192.2680420663. The cubic root of 36967 is about 33.3123089643.

The spelling of 36967 in words is "thirty-six thousand, nine hundred sixty-seven".