36973 has 2 divisors, whose sum is σ = 36974. Its totient is φ = 36972.

The previous prime is 36947. The next prime is 36979. The reversal of 36973 is 37963.

36973 is nontrivially palindromic in base 12.

It is the 79-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26569 + 10404 = 163^2 + 102^2 .

It is an emirp because it is prime and its reverse (37963) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36979) 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 as a sum of consecutive naturals, namely, 18486 + 18487.

It is an arithmetic number, because the mean of its divisors is an integer number (18487).

2³⁶⁹⁷³ is an apocalyptic number.

It is an amenable number.

36973 is a deficient number, since it is larger than the sum of its proper divisors (1).

36973 is an equidigital number, since it uses as much as digits as its factorization.

36973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 28.

The square root of 36973 is about 192.2836446503. The cubic root of 36973 is about 33.3141111396.

Subtracting 36973 from its reverse (37963), we obtain a triangular number (990 = T₄₄).

The spelling of 36973 in words is "thirty-six thousand, nine hundred seventy-three".