86381505 has 128 divisors (see below), whose sum is σ = 196300800. Its totient is φ = 35085312.

The previous prime is 86381489. The next prime is 86381509. The reversal of 86381505 is 50518368.

86381505 is a `hidden beast` number, since 8 + 638 + 15 + 0 + 5 = 666.

It is not a de Polignac number, because 86381505 - 2⁴ = 86381489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86381505.

It is not an unprimeable number, because it can be changed into a prime (86381509) 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 127 ways as a sum of consecutive naturals, for example, 305094 + ... + 305376.

It is an arithmetic number, because the mean of its divisors is an integer number (1533600).

Almost surely, 2^86381505 is an apocalyptic number.

86381505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86381505 is an abundant number, since it is smaller than the sum of its proper divisors (109919295).

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

86381505 is a wasteful number, since it uses less digits than its factorization.

86381505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 86381505 is about 9294.1651050538. The cubic root of 86381505 is about 442.0522330660.

The spelling of 86381505 in words is "eighty-six million, three hundred eighty-one thousand, five hundred five".