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405829 is a prime number
BaseRepresentation
bin1100011000101000101
3202121200201
41203011011
5100441304
612410501
73310114
oct1430505
9677621
10405829
112579a6
12176a31
13112948
14a7c7b
15803a4
hex63145

405829 has 2 divisors, whose sum is σ = 405830. Its totient is φ = 405828.

The previous prime is 405827. The next prime is 405857. The reversal of 405829 is 928504.

It is a happy number.

It is an a-pointer prime, because the next prime (405857) can be obtained adding 405829 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 332929 + 72900 = 577^2 + 270^2 .

It is a cyclic number.

It is not a de Polignac number, because 405829 - 21 = 405827 is a prime.

Together with 405827, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 405797 and 405806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202914 + 202915.

It is an arithmetic number, because the mean of its divisors is an integer number (202915).

2405829 is an apocalyptic number.

It is an amenable number.

405829 is a deficient number, since it is larger than the sum of its proper divisors (1).

405829 is an equidigital number, since it uses as much as digits as its factorization.

405829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 405829 is about 637.0470940205. The cubic root of 405829 is about 74.0368090553.

The spelling of 405829 in words is "four hundred five thousand, eight hundred twenty-nine".