• 163284² = 26661664656 is the smallest square that contains exactly seven digits '6'.

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163284 has 24 divisors (see below), whose sum is σ = 415968. Its totient is φ = 49440.

The previous prime is 163259. The next prime is 163307. The reversal of 163284 is 482361.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

163284 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (17332).

2¹⁶³²⁸⁴ is an apocalyptic number.

It is an amenable number.

163284 is an abundant number, since it is smaller than the sum of its proper divisors (252684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163284 is a wasteful number, since it uses less digits than its factorization.

163284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1253 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 163284 is about 404.0841496520. The cubic root of 163284 is about 54.6572625769.

The spelling of 163284 in words is "one hundred sixty-three thousand, two hundred eighty-four".