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30713 is a prime number
BaseRepresentation
bin111011111111001
31120010112
413133321
51440323
6354105
7155354
oct73771
946115
1030713
1121091
1215935
1310c97
14b29b
159178
hex77f9

30713 has 2 divisors, whose sum is σ = 30714. Its totient is φ = 30712.

The previous prime is 30707. The next prime is 30727. The reversal of 30713 is 31703.

It is a happy number.

It is an a-pointer prime, because the next prime (30727) can be obtained adding 30713 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29929 + 784 = 173^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 30713 - 24 = 30697 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (30703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15356 + 15357.

It is an arithmetic number, because the mean of its divisors is an integer number (15357).

230713 is an apocalyptic number.

It is an amenable number.

30713 is a deficient number, since it is larger than the sum of its proper divisors (1).

30713 is an equidigital number, since it uses as much as digits as its factorization.

30713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 30713 is about 175.2512482124. The cubic root of 30713 is about 31.3165621228.

Subtracting 30713 from its reverse (31703), we obtain a triangular number (990 = T44).

The spelling of 30713 in words is "thirty thousand, seven hundred thirteen".