86182164 has 48 divisors (see below), whose sum is σ = 228896640. Its totient is φ = 28025280.

The previous prime is 86182133. The next prime is 86182169. The reversal of 86182164 is 46128168.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86182169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5304 + ... + 14159.

It is an arithmetic number, because the mean of its divisors is an integer number (4768680).

Almost surely, 2^86182164 is an apocalyptic number.

It is an amenable number.

86182164 is an abundant number, since it is smaller than the sum of its proper divisors (142714476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86182164 is a wasteful number, since it uses less digits than its factorization.

86182164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19517 (or 19509 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 86182164 is about 9283.4349246386. The cubic root of 86182164 is about 441.7119325783.

The spelling of 86182164 in words is "eighty-six million, one hundred eighty-two thousand, one hundred sixty-four".