86434209 has 15 divisors (see below), whose sum is σ = 129242883. Its totient is φ = 57567024.

The previous prime is 86434199. The next prime is 86434217. The reversal of 86434209 is 90243468.

It is a happy number.

The square root of 86434209 is 9297.

It is a perfect power (a square), and thus also a powerful number.

86434209 is a `hidden beast` number, since 8 + 643 + 4 + 2 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83448225 + 2985984 = 9135^2 + 1728^2 .

It is not a de Polignac number, because 86434209 - 2⁵ = 86434177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86434289) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 83157 + ... + 84189.

Almost surely, 2^86434209 is an apocalyptic number.

86434209 is the 9297-th square number.

86434209 is the 4649-th centered octagonal number.

It is an amenable number.

86434209 is a deficient number, since it is larger than the sum of its proper divisors (42808674).

86434209 is an frugal number, since it uses more digits than its factorization.

86434209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The cubic root of 86434209 is about 442.1421179870.

Multiplying 86434209 by its sum of digits (36), we get a square (3111631524 = 55782²).

The spelling of 86434209 in words is "eighty-six million, four hundred thirty-four thousand, two hundred nine".