88305841 has 24 divisors (see below), whose sum is σ = 101405304. Its totient is φ = 76392960.

The previous prime is 88305817. The next prime is 88305851. The reversal of 88305841 is 14850388.

It can be written as a sum of positive squares in 12 ways, for example, as 22127616 + 66178225 = 4704^2 + 8135^2 .

It is not a de Polignac number, because 88305841 - 2²⁵ = 54751409 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 88305841.

It is not an unprimeable number, because it can be changed into a prime (88305851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448155 + ... + 448351.

It is an arithmetic number, because the mean of its divisors is an integer number (4225221).

Almost surely, 2^88305841 is an apocalyptic number.

It is an amenable number.

88305841 is a deficient number, since it is larger than the sum of its proper divisors (13099463).

88305841 is a wasteful number, since it uses less digits than its factorization.

88305841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 88305841 is about 9397.1187605563. The cubic root of 88305841 is about 445.3107134374.

The spelling of 88305841 in words is "eighty-eight million, three hundred five thousand, eight hundred forty-one".