99877 has 2 divisors, whose sum is σ = 99878. Its totient is φ = 99876.

The previous prime is 99871. The next prime is 99881. The reversal of 99877 is 77899.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 6241 = 306^2 + 79^2 .

It is an emirp because it is prime and its reverse (77899) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 99877 - 2¹¹ = 97829 is a prime.

99877 is a lucky number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (99871) 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, 49938 + 49939.

It is an arithmetic number, because the mean of its divisors is an integer number (49939).

2⁹⁹⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

99877 is a deficient number, since it is larger than the sum of its proper divisors (1).

99877 is an equidigital number, since it uses as much as digits as its factorization.

99877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 40.

The square root of 99877 is about 316.0332261013. The cubic root of 99877 is about 46.3968500141.

The spelling of 99877 in words is "ninety-nine thousand, eight hundred seventy-seven".