84129 has 8 divisors (see below), whose sum is σ = 116160. Its totient is φ = 54096.

The previous prime is 84127. The next prime is 84131. The reversal of 84129 is 92148.

It is an interprime number because it is at equal distance from previous prime (84127) and next prime (84131).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 84129 - 2¹ = 84127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84099 and 84108.

It is not an unprimeable number, because it can be changed into a prime (84121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (14520).

2⁸⁴¹²⁹ is an apocalyptic number.

It is an amenable number.

84129 is a deficient number, since it is larger than the sum of its proper divisors (32031).

84129 is a wasteful number, since it uses less digits than its factorization.

84129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999.

The product of its digits is 576, while the sum is 24.

The square root of 84129 is about 290.0499956904. The cubic root of 84129 is about 43.8175988993.

It can be divided in two parts, 841 and 29, that multiplied together give a cube (24389 = 29³).

The spelling of 84129 in words is "eighty-four thousand, one hundred twenty-nine".