87575593 has 12 divisors (see below), whose sum is σ = 102150612. Its totient is φ = 74860800.

The previous prime is 87575567. The next prime is 87575603. The reversal of 87575593 is 39557578.

It can be written as a sum of positive squares in 2 ways, for example, as 77915929 + 9659664 = 8827^2 + 3108^2 .

It is not a de Polignac number, because 87575593 - 2²¹ = 85478441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87575533) 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, 17421 + ... + 21877.

It is an arithmetic number, because the mean of its divisors is an integer number (8512551).

Almost surely, 2^87575593 is an apocalyptic number.

It is an amenable number.

87575593 is a deficient number, since it is larger than the sum of its proper divisors (14575019).

87575593 is a wasteful number, since it uses less digits than its factorization.

87575593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4865 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 49.

The square root of 87575593 is about 9358.1832104314. The cubic root of 87575593 is about 444.0798104102.

The spelling of 87575593 in words is "eighty-seven million, five hundred seventy-five thousand, five hundred ninety-three".