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82303 = 132487
BaseRepresentation
bin10100000101111111
311011220021
4110011333
510113203
61433011
7461644
oct240577
9134807
1082303
1156921
123b767
132b600
1421dcb
15195bd
hex1417f

82303 has 6 divisors (see below), whose sum is σ = 89304. Its totient is φ = 75816.

The previous prime is 82301. The next prime is 82307. The reversal of 82303 is 30328.

It is a happy number.

It is not a de Polignac number, because 82303 - 21 = 82301 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (14884).

282303 is an apocalyptic number.

82303 is a deficient number, since it is larger than the sum of its proper divisors (7001).

82303 is a wasteful number, since it uses less digits than its factorization.

82303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 82303 is about 286.8849943793. The cubic root of 82303 is about 43.4982603788.

The spelling of 82303 in words is "eighty-two thousand, three hundred three".

Divisors: 1 13 169 487 6331 82303