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327663 = 3272743
BaseRepresentation
bin1001111111111101111
3121122110200
41033333233
540441123
611004543
72533200
oct1177757
9548420
10327663
112041a6
12139753
13b61ab
14875a7
1567143
hex4ffef

327663 has 18 divisors (see below), whose sum is σ = 551304. Its totient is φ = 186984.

The previous prime is 327661. The next prime is 327667. The reversal of 327663 is 366723.

It is not a de Polignac number, because 327663 - 21 = 327661 is a prime.

It is a d-powerful number, because it can be written as 33 + 215 + 62 + 76 + 62 + 311 .

327663 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327663.

It is not an unprimeable number, because it can be changed into a prime (327661) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (30628).

2327663 is an apocalyptic number.

327663 is a deficient number, since it is larger than the sum of its proper divisors (223641).

327663 is a wasteful number, since it uses less digits than its factorization.

327663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 753 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 327663 is about 572.4185531584. The cubic root of 327663 is about 68.9407178277.

Subtracting 327663 from its reverse (366723), we obtain a triangular number (39060 = T279).

It can be divided in two parts, 327 and 663, that added together give a triangular number (990 = T44).

The spelling of 327663 in words is "three hundred twenty-seven thousand, six hundred sixty-three".

Divisors: 1 3 7 9 21 49 63 147 441 743 2229 5201 6687 15603 36407 46809 109221 327663