84217329 has 81 divisors (see below), whose sum is σ = 156123513. Its totient is φ = 43609104.

The previous prime is 84217307. The next prime is 84217351. The reversal of 84217329 is 92371248.

The square root of 84217329 is 9177.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (84217307) and next prime (84217351).

It is not a de Polignac number, because 84217329 - 2²¹ = 82120177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84217293 and 84217302.

It is not an unprimeable number, because it can be changed into a prime (84217369) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3661612 + ... + 3661634.

Almost surely, 2^84217329 is an apocalyptic number.

84217329 is the 9177-th square number.

84217329 is the 4589-th centered octagonal number.

It is an amenable number.

84217329 is a deficient number, since it is larger than the sum of its proper divisors (71906184).

84217329 is a wasteful number, since it uses less digits than its factorization.

84217329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The cubic root of 84217329 is about 438.3292857538.

Multiplying 84217329 by its sum of digits (36), we get a square (3031823844 = 55062²).

The spelling of 84217329 in words is "eighty-four million, two hundred seventeen thousand, three hundred twenty-nine".