37987 has 2 divisors, whose sum is σ = 37988. Its totient is φ = 37986.

The previous prime is 37967. The next prime is 37991. The reversal of 37987 is 78973.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37987 is a prime.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (37907) 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, 18993 + 18994.

It is an arithmetic number, because the mean of its divisors is an integer number (18994).

2³⁷⁹⁸⁷ is an apocalyptic number.

37987 is a deficient number, since it is larger than the sum of its proper divisors (1).

37987 is an equidigital number, since it uses as much as digits as its factorization.

37987 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 34.

The square root of 37987 is about 194.9025397474. The cubic root of 37987 is about 33.6159197991.

It can be divided in two parts, 37 and 987, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 37987 in words is "thirty-seven thousand, nine hundred eighty-seven".