88821 has 12 divisors (see below), whose sum is σ = 131040. Its totient is φ = 57960.

The previous prime is 88819. The next prime is 88843. The reversal of 88821 is 12888.

It is not a de Polignac number, because 88821 - 2¹ = 88819 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

88821 is a lucky number.

It is a nialpdrome in base 10.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88801) 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 in 11 ways as a sum of consecutive naturals, for example, 570 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2⁸⁸⁸²¹ is an apocalyptic number.

It is an amenable number.

88821 is a deficient number, since it is larger than the sum of its proper divisors (42219).

88821 is a wasteful number, since it uses less digits than its factorization.

88821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 88821 is about 298.0285221250. The cubic root of 88821 is about 44.6174986803.

It can be divided in two parts, 888 and 21, that added together give a palindrome (909).

The spelling of 88821 in words is "eighty-eight thousand, eight hundred twenty-one".