88201 has 4 divisors (see below), whose sum is σ = 88852. Its totient is φ = 87552.

The previous prime is 88177. The next prime is 88211. The reversal of 88201 is 10288.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 38025 = 224^2 + 195^2 .

It is a cyclic number.

It is not a de Polignac number, because 88201 - 2⁵ = 88169 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (88211) 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 3 ways as a sum of consecutive naturals, for example, 36 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (22213).

2⁸⁸²⁰¹ is an apocalyptic number.

It is an amenable number.

88201 is a deficient number, since it is larger than the sum of its proper divisors (651).

88201 is a wasteful number, since it uses less digits than its factorization.

88201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 88201 is about 296.9865316812. The cubic root of 88201 is about 44.5134412117.

Adding to 88201 its reverse (10288), we get a palindrome (98489).

It can be divided in two parts, 88 and 201, that added together give a square (289 = 17²).

The spelling of 88201 in words is "eighty-eight thousand, two hundred one".