87838905 has 64 divisors (see below), whose sum is σ = 178329600. Its totient is φ = 35857920.

The previous prime is 87838897. The next prime is 87838921. The reversal of 87838905 is 50983878.

It is a happy number.

It is not a de Polignac number, because 87838905 - 2³ = 87838897 is a prime.

It is an alternating number because its digits alternate between even and odd.

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 63 ways as a sum of consecutive naturals, for example, 67501 + ... + 68789.

It is an arithmetic number, because the mean of its divisors is an integer number (2786400).

Almost surely, 2^87838905 is an apocalyptic number.

It is an amenable number.

87838905 is an abundant number, since it is smaller than the sum of its proper divisors (90490695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87838905 is a wasteful number, since it uses less digits than its factorization.

87838905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374.

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 87838905 is about 9372.2411940795. The cubic root of 87838905 is about 444.5244340867.

The spelling of 87838905 in words is "eighty-seven million, eight hundred thirty-eight thousand, nine hundred five".