87241805 has 24 divisors (see below), whose sum is σ = 123181560. Its totient is φ = 59136000.

The previous prime is 87241769. The next prime is 87241813. The reversal of 87241805 is 50814278.

It can be written as a sum of positive squares in 4 ways, for example, as 1605289 + 85636516 = 1267^2 + 9254^2 .

It is not a de Polignac number, because 87241805 - 2¹⁶ = 87176269 is a prime.

It is a super-2 number, since 2×87241805² = 15222265079316050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19805 + ... + 23805.

It is an arithmetic number, because the mean of its divisors is an integer number (5132565).

Almost surely, 2^87241805 is an apocalyptic number.

It is an amenable number.

87241805 is a deficient number, since it is larger than the sum of its proper divisors (35939755).

87241805 is a wasteful number, since it uses less digits than its factorization.

87241805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 87241805 is about 9340.3321675409. The cubic root of 87241805 is about 443.5148994680.

The spelling of 87241805 in words is "eighty-seven million, two hundred forty-one thousand, eight hundred five".