86509305 has 12 divisors (see below), whose sum is σ = 149949540. Its totient is φ = 46138272.

The previous prime is 86509301. The next prime is 86509309. The reversal of 86509305 is 50390568.

It is an interprime number because it is at equal distance from previous prime (86509301) and next prime (86509309).

It can be written as a sum of positive squares in 2 ways, for example, as 27342441 + 59166864 = 5229^2 + 7692^2 .

It is not a de Polignac number, because 86509305 - 2² = 86509301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86509305.

It is not an unprimeable number, because it can be changed into a prime (86509301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 961170 + ... + 961259.

It is an arithmetic number, because the mean of its divisors is an integer number (12495795).

Almost surely, 2^86509305 is an apocalyptic number.

It is an amenable number.

86509305 is a deficient number, since it is larger than the sum of its proper divisors (63440235).

86509305 is a wasteful number, since it uses less digits than its factorization.

86509305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922440 (or 1922437 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 86509305 is about 9301.0378453160. The cubic root of 86509305 is about 442.2701286193.

It can be divided in two parts, 8650 and 9305, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 86509305 in words is "eighty-six million, five hundred nine thousand, three hundred five".