38977 has 2 divisors, whose sum is σ = 38978. Its totient is φ = 38976.

The previous prime is 38971. The next prime is 38993. The reversal of 38977 is 77983.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 14641 = 156^2 + 121^2 .

It is an emirp because it is prime and its reverse (77983) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38977 - 2¹¹ = 36929 is a prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (38971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19488 + 19489.

It is an arithmetic number, because the mean of its divisors is an integer number (19489).

2³⁸⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

38977 is a deficient number, since it is larger than the sum of its proper divisors (1).

38977 is an equidigital number, since it uses as much as digits as its factorization.

38977 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 38977 is about 197.4259354796. The cubic root of 38977 is about 33.9054466352.

The spelling of 38977 in words is "thirty-eight thousand, nine hundred seventy-seven".