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829921 = 9112
BaseRepresentation
bin11001010100111100001
31120011102211
43022213201
5203024141
625442121
710024411
oct3124741
91504384
10829921
11517594
12340341
132309a1
14178641
15115d81
hexca9e1

829921 has 3 divisors (see below), whose sum is σ = 830833. Its totient is φ = 829010.

The previous prime is 829883. The next prime is 829949. The reversal of 829921 is 129928.

The square root of 829921 is 911.

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

829921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 829921 - 211 = 827873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829121) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 456 + ... + 1366.

829921 is a Friedman number, since it can be written as (812+99)^2, using all its digits and the basic arithmetic operations.

2829921 is an apocalyptic number.

829921 is the 911-st square number.

829921 is the 456-th centered octagonal number.

It is an amenable number.

829921 is a deficient number, since it is larger than the sum of its proper divisors (912).

829921 is an frugal number, since it uses more digits than its factorization.

829921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 911 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The cubic root of 829921 is about 93.9749820248.

It can be divided in two parts, 8 and 29921, that added together give a square (29929 = 1732).

The spelling of 829921 in words is "eight hundred twenty-nine thousand, nine hundred twenty-one".

Divisors: 1 911 829921