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406361 is a prime number
BaseRepresentation
bin1100011001101011001
3202122102102
41203031121
5101000421
612413145
73311504
oct1431531
9678372
10406361
1125833a
121771b5
13112c67
14a813b
158060b
hex63359

406361 has 2 divisors, whose sum is σ = 406362. Its totient is φ = 406360.

The previous prime is 406349. The next prime is 406381. The reversal of 406361 is 163604.

It is an a-pointer prime, because the next prime (406381) can be obtained adding 406361 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403225 + 3136 = 635^2 + 56^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-406361 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406361.

It is not a weakly prime, because it can be changed into another prime (406331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203180 + 203181.

It is an arithmetic number, because the mean of its divisors is an integer number (203181).

2406361 is an apocalyptic number.

It is an amenable number.

406361 is a deficient number, since it is larger than the sum of its proper divisors (1).

406361 is an equidigital number, since it uses as much as digits as its factorization.

406361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 406361 is about 637.4645088160. The cubic root of 406361 is about 74.0691464716.

Adding to 406361 its reverse (163604), we get a palindrome (569965).

It can be divided in two parts, 406 and 361, that added together give a palindrome (767).

The spelling of 406361 in words is "four hundred six thousand, three hundred sixty-one".