84129201 has 24 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 50666976.

The previous prime is 84129181. The next prime is 84129211. The reversal of 84129201 is 10292148.

It is not a de Polignac number, because 84129201 - 2¹⁸ = 83867057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84129211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2151 + ... + 13148.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^84129201 is an apocalyptic number.

It is an amenable number.

84129201 is a deficient number, since it is larger than the sum of its proper divisors (49531599).

84129201 is a wasteful number, since it uses less digits than its factorization.

84129201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15365 (or 15362 counting only the distinct ones).

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

The square root of 84129201 is about 9172.1971740690. The cubic root of 84129201 is about 438.1763379544.

The spelling of 84129201 in words is "eighty-four million, one hundred twenty-nine thousand, two hundred one".