87575873 has 32 divisors (see below), whose sum is σ = 112637952. Its totient is φ = 66124800.

The previous prime is 87575869. The next prime is 87575879. The reversal of 87575873 is 37857578.

It is not a de Polignac number, because 87575873 - 2² = 87575869 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87575879) 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 31 ways as a sum of consecutive naturals, for example, 453665 + ... + 453857.

It is an arithmetic number, because the mean of its divisors is an integer number (3519936).

Almost surely, 2^87575873 is an apocalyptic number.

87575873 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

87575873 is a deficient number, since it is larger than the sum of its proper divisors (25062079).

87575873 is a wasteful number, since it uses less digits than its factorization.

87575873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365.

The product of its digits is 1646400, while the sum is 50.

The square root of 87575873 is about 9358.1981705882. The cubic root of 87575873 is about 444.0802836859.

The spelling of 87575873 in words is "eighty-seven million, five hundred seventy-five thousand, eight hundred seventy-three".