88205841 has 12 divisors (see below), whose sum is σ = 132127632. Its totient is φ = 58803732.

The previous prime is 88205839. The next prime is 88205867. The reversal of 88205841 is 14850288.

It is not a de Polignac number, because 88205841 - 2¹ = 88205839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 88205796 and 88205805.

It is not an unprimeable number, because it can be changed into a prime (88205441) 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, 181251 + ... + 181736.

It is an arithmetic number, because the mean of its divisors is an integer number (11010636).

Almost surely, 2^88205841 is an apocalyptic number.

88205841 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

88205841 is a deficient number, since it is larger than the sum of its proper divisors (43921791).

88205841 is an equidigital number, since it uses as much as digits as its factorization.

88205841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363002 (or 362990 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 88205841 is about 9391.7964735188. The cubic root of 88205841 is about 445.1425558507.

The spelling of 88205841 in words is "eighty-eight million, two hundred five thousand, eight hundred forty-one".