88001 has 2 divisors, whose sum is σ = 88002. Its totient is φ = 88000.

The previous prime is 87991. The next prime is 88003. The reversal of 88001 is 10088.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 39601 = 220^2 + 199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-88001 is a prime.

Together with 88003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (88003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44000 + 44001.

It is an arithmetic number, because the mean of its divisors is an integer number (44001).

2⁸⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

88001 is a deficient number, since it is larger than the sum of its proper divisors (1).

88001 is an equidigital number, since it uses as much as digits as its factorization.

88001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 88001 is about 296.6496249787. The cubic root of 88001 is about 44.4797702941.

Adding to 88001 its reverse (10088), we get a palindrome (98089).

The spelling of 88001 in words is "eighty-eight thousand, one".