36971 has 4 divisors (see below), whose sum is σ = 40344. Its totient is φ = 33600.

The previous prime is 36947. The next prime is 36973. The reversal of 36971 is 17963.

36971 = T₁₀₈ + T₁₀₉ + ... + T₁₁₃.

36971 = 30² + 31² + ... + 51².

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36971 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36971.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36971.

It is not an unprimeable number, because it can be changed into a prime (36973) 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, 1670 + ... + 1691.

It is an arithmetic number, because the mean of its divisors is an integer number (10086).

2³⁶⁹⁷¹ is an apocalyptic number.

36971 is a deficient number, since it is larger than the sum of its proper divisors (3373).

36971 is a wasteful number, since it uses less digits than its factorization.

36971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372.

The product of its digits is 1134, while the sum is 26.

The square root of 36971 is about 192.2784439296. The cubic root of 36971 is about 33.3135104361.

The spelling of 36971 in words is "thirty-six thousand, nine hundred seventy-one".