88321 has 2 divisors, whose sum is σ = 88322. Its totient is φ = 88320.

The previous prime is 88301. The next prime is 88327. The reversal of 88321 is 12388.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 1296 = 295^2 + 36^2 .

It is a cyclic number.

It is not a de Polignac number, because 88321 - 2⁵ = 88289 is a prime.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88292 and 88301.

It is not a weakly prime, because it can be changed into another prime (88327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44160 + 44161.

It is an arithmetic number, because the mean of its divisors is an integer number (44161).

2⁸⁸³²¹ is an apocalyptic number.

It is an amenable number.

88321 is a deficient number, since it is larger than the sum of its proper divisors (1).

88321 is an equidigital number, since it uses as much as digits as its factorization.

88321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 22.

The square root of 88321 is about 297.1884923748. The cubic root of 88321 is about 44.5336193363.

The spelling of 88321 in words is "eighty-eight thousand, three hundred twenty-one".