84329 has 6 divisors (see below), whose sum is σ = 98154. Its totient is φ = 72240.

The previous prime is 84319. The next prime is 84347. The reversal of 84329 is 92348.

84329 = 15² + 16² + ... + 63².

It can be written as a sum of positive squares in only one way, i.e., 78400 + 5929 = 280^2 + 77^2 .

It is not a de Polignac number, because 84329 - 2⁴ = 84313 is a prime.

It is a super-2 number, since 2×84329² = 14222760482, which contains 22 as substring.

Its product of digits (1728) is a multiple of the sum of its prime divisors (1728).

It is a junction number, because it is equal to n+sod(n) for n = 84298 and 84307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84329.

It is not an unprimeable number, because it can be changed into a prime (84319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 812 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (16359).

2⁸⁴³²⁹ is an apocalyptic number.

It is an amenable number.

84329 is a deficient number, since it is larger than the sum of its proper divisors (13825).

84329 is a wasteful number, since it uses less digits than its factorization.

84329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1728 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 84329 is about 290.3945591777. The cubic root of 84329 is about 43.8522939685.

The spelling of 84329 in words is "eighty-four thousand, three hundred twenty-nine".