87201 has 6 divisors (see below), whose sum is σ = 125970. Its totient is φ = 58128.

The previous prime is 87187. The next prime is 87211. The reversal of 87201 is 10278.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 11025 = 276^2 + 105^2 .

It is not a de Polignac number, because 87201 - 2⁹ = 86689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87211) 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 in 5 ways as a sum of consecutive naturals, for example, 4836 + ... + 4853.

It is an arithmetic number, because the mean of its divisors is an integer number (20995).

2⁸⁷²⁰¹ is an apocalyptic number.

It is an amenable number.

87201 is a deficient number, since it is larger than the sum of its proper divisors (38769).

87201 is a wasteful number, since it uses less digits than its factorization.

87201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9695 (or 9692 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 87201 is about 295.2981544135. The cubic root of 87201 is about 44.3445741309.

Adding to 87201 its reverse (10278), we get a palindrome (97479).

The spelling of 87201 in words is "eighty-seven thousand, two hundred one".