84216429 has 40 divisors (see below), whose sum is σ = 141715200. Its totient is φ = 49377600.

The previous prime is 84216427. The next prime is 84216469. The reversal of 84216429 is 92461248.

84216429 is a `hidden beast` number, since 8 + 4 + 2 + 1 + 642 + 9 = 666.

It is not a de Polignac number, because 84216429 - 2¹ = 84216427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84216393 and 84216402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84216427) 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 39 ways as a sum of consecutive naturals, for example, 26097 + ... + 29145.

It is an arithmetic number, because the mean of its divisors is an integer number (3542880).

Almost surely, 2^84216429 is an apocalyptic number.

It is an amenable number.

84216429 is a deficient number, since it is larger than the sum of its proper divisors (57498771).

84216429 is a wasteful number, since it uses less digits than its factorization.

84216429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3094 counting only the distinct ones).

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

The square root of 84216429 is about 9176.9509642364. The cubic root of 84216429 is about 438.3277243263.

It can be divided in two parts, 842 and 16429, that added together give a palindrome (17271).

The spelling of 84216429 in words is "eighty-four million, two hundred sixteen thousand, four hundred twenty-nine".