84166101 has 16 divisors (see below), whose sum is σ = 124859520. Its totient is φ = 56034720.

The previous prime is 84166063. The next prime is 84166123. The reversal of 84166101 is 10166148.

84166101 is a `hidden beast` number, since 8 + 41 + 6 + 610 + 1 = 666.

It is not a de Polignac number, because 84166101 - 2¹⁰ = 84165077 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 (84166151) 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 15 ways as a sum of consecutive naturals, for example, 24096 + ... + 27366.

It is an arithmetic number, because the mean of its divisors is an integer number (7803720).

Almost surely, 2^84166101 is an apocalyptic number.

It is an amenable number.

84166101 is a deficient number, since it is larger than the sum of its proper divisors (40693419).

84166101 is a wasteful number, since it uses less digits than its factorization.

84166101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 84166101 is about 9174.2084672194. The cubic root of 84166101 is about 438.2403915899.

The spelling of 84166101 in words is "eighty-four million, one hundred sixty-six thousand, one hundred one".