86221125 has 64 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 45100800.

The previous prime is 86221123. The next prime is 86221133. The reversal of 86221125 is 52112268.

It is a happy number.

86221125 is a `hidden beast` number, since 8 + 622 + 11 + 25 = 666.

It is not a de Polignac number, because 86221125 - 2¹ = 86221123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198909 + ... + 199341.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^86221125 is an apocalyptic number.

It is an amenable number.

86221125 is a deficient number, since it is larger than the sum of its proper divisors (76268475).

86221125 is a wasteful number, since it uses less digits than its factorization.

86221125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 500 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 86221125 is about 9285.5331026280. The cubic root of 86221125 is about 441.7784851962.

The spelling of 86221125 in words is "eighty-six million, two hundred twenty-one thousand, one hundred twenty-five".