86164641 has 12 divisors (see below), whose sum is σ = 129070032. Its totient is φ = 57442932.

The previous prime is 86164633. The next prime is 86164649. The reversal of 86164641 is 14646168.

86164641 is a `hidden beast` number, since 8 + 6 + 1 + 6 + 4 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (86164633) and next prime (86164649).

It is not a de Polignac number, because 86164641 - 2³ = 86164633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86164596 and 86164605.

It is not an unprimeable number, because it can be changed into a prime (86164649) 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, 177051 + ... + 177536.

It is an arithmetic number, because the mean of its divisors is an integer number (10755836).

Almost surely, 2^86164641 is an apocalyptic number.

86164641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

86164641 is a deficient number, since it is larger than the sum of its proper divisors (42905391).

86164641 is an equidigital number, since it uses as much as digits as its factorization.

86164641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354602 (or 354590 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 86164641 is about 9282.4910988376. The cubic root of 86164641 is about 441.6819935032.

The spelling of 86164641 in words is "eighty-six million, one hundred sixty-four thousand, six hundred forty-one".