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30717 = 323413
BaseRepresentation
bin111011111111101
31120010200
413133331
51440332
6354113
7155361
oct73775
946120
1030717
1121095
1215939
1310c9b
14b2a1
15917c
hex77fd

30717 has 6 divisors (see below), whose sum is σ = 44382. Its totient is φ = 20472.

The previous prime is 30713. The next prime is 30727. The reversal of 30717 is 71703.

It can be written as a sum of positive squares in only one way, i.e., 30276 + 441 = 174^2 + 21^2 .

It is not a de Polignac number, because 30717 - 22 = 30713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30717.

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 30717.

It is not an unprimeable number, because it can be changed into a prime (30713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1698 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (7397).

230717 is an apocalyptic number.

It is an amenable number.

30717 is a deficient number, since it is larger than the sum of its proper divisors (13665).

30717 is a wasteful number, since it uses less digits than its factorization.

30717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 30717 is about 175.2626600277. The cubic root of 30717 is about 31.3179215994.

It can be divided in two parts, 307 and 17, that added together give a square (324 = 182).

The spelling of 30717 in words is "thirty thousand, seven hundred seventeen".

Divisors: 1 3 9 3413 10239 30717