87797 has 2 divisors, whose sum is σ = 87798. Its totient is φ = 87796.

The previous prime is 87793. The next prime is 87803. The reversal of 87797 is 79778.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78961 + 8836 = 281^2 + 94^2 .

It is a cyclic number.

It is not a de Polignac number, because 87797 - 2² = 87793 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87797.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43898 + 43899.

It is an arithmetic number, because the mean of its divisors is an integer number (43899).

2⁸⁷⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

87797 is a deficient number, since it is larger than the sum of its proper divisors (1).

87797 is an equidigital number, since it uses as much as digits as its factorization.

87797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24696, while the sum is 38.

The square root of 87797 is about 296.3055855025. The cubic root of 87797 is about 44.4453733602.

The spelling of 87797 in words is "eighty-seven thousand, seven hundred ninety-seven".