87564905 has 8 divisors (see below), whose sum is σ = 105629184. Its totient is φ = 69684400.

The previous prime is 87564871. The next prime is 87564923. The reversal of 87564905 is 50946578.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 87564905 - 2⁸ = 87564649 is a prime.

It is a super-2 number, since 2×87564905² = 15335225175318050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44891 + ... + 46800.

It is an arithmetic number, because the mean of its divisors is an integer number (13203648).

Almost surely, 2^87564905 is an apocalyptic number.

It is an amenable number.

87564905 is a deficient number, since it is larger than the sum of its proper divisors (18064279).

87564905 is a wasteful number, since it uses less digits than its factorization.

87564905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91887.

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 87564905 is about 9357.6121419943. The cubic root of 87564905 is about 444.0617440443.

The spelling of 87564905 in words is "eighty-seven million, five hundred sixty-four thousand, nine hundred five".