87205997 has 2 divisors, whose sum is σ = 87205998. Its totient is φ = 87205996.

The previous prime is 87205961. The next prime is 87205999. The reversal of 87205997 is 79950278.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70795396 + 16410601 = 8414^2 + 4051^2 .

It is a cyclic number.

It is not a de Polignac number, because 87205997 - 2⁶ = 87205933 is a prime.

Together with 87205999, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87205999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43602998 + 43602999.

It is an arithmetic number, because the mean of its divisors is an integer number (43602999).

Almost surely, 2^87205997 is an apocalyptic number.

It is an amenable number.

87205997 is a deficient number, since it is larger than the sum of its proper divisors (1).

87205997 is an equidigital number, since it uses as much as digits as its factorization.

87205997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 47.

The square root of 87205997 is about 9338.4151224927. The cubic root of 87205997 is about 443.4542116099.

The spelling of 87205997 in words is "eighty-seven million, two hundred five thousand, nine hundred ninety-seven".