86580405 has 24 divisors (see below), whose sum is σ = 158901912. Its totient is φ = 43459584.

The previous prime is 86580401. The next prime is 86580413. The reversal of 86580405 is 50408568.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1535121 + 85045284 = 1239^2 + 9222^2 .

It is not a de Polignac number, because 86580405 - 2² = 86580401 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86580405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86580401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55824 + ... + 57353.

It is an arithmetic number, because the mean of its divisors is an integer number (6620913).

Almost surely, 2^86580405 is an apocalyptic number.

86580405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86580405 is a deficient number, since it is larger than the sum of its proper divisors (72321507).

86580405 is a wasteful number, since it uses less digits than its factorization.

86580405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113205 (or 113202 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 86580405 is about 9304.8592144105. The cubic root of 86580405 is about 442.3912593090.

The spelling of 86580405 in words is "eighty-six million, five hundred eighty thousand, four hundred five".