86366205 has 72 divisors (see below), whose sum is σ = 165227400. Its totient is φ = 41674752.

The previous prime is 86366201. The next prime is 86366207. The reversal of 86366205 is 50266368.

It can be written as a sum of positive squares in 12 ways, for example, as 933156 + 85433049 = 966^2 + 9243^2 .

It is not a de Polignac number, because 86366205 - 2² = 86366201 is a prime.

It is a super-2 number, since 2×86366205² = 14918242732204050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86366205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86366201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 377031 + ... + 377259.

It is an arithmetic number, because the mean of its divisors is an integer number (2294825).

Almost surely, 2^86366205 is an apocalyptic number.

86366205 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86366205 is a deficient number, since it is larger than the sum of its proper divisors (78861195).

86366205 is a wasteful number, since it uses less digits than its factorization.

86366205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 86366205 is about 9293.3419715407. The cubic root of 86366205 is about 442.0261325772.

It can be divided in two parts, 8636 and 6205, that added together give a palindrome (14841).

The spelling of 86366205 in words is "eighty-six million, three hundred sixty-six thousand, two hundred five".