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30253 is a prime number
BaseRepresentation
bin111011000101101
31112111111
413120231
51432003
6352021
7154126
oct73055
945444
1030253
1120803
1215611
1310a02
14b04d
158e6d
hex762d

30253 has 2 divisors, whose sum is σ = 30254. Its totient is φ = 30252.

The previous prime is 30241. The next prime is 30259. The reversal of 30253 is 35203.

Adding to 30253 its reverse (35203), we get a palindrome (65456).

Subtracting 30253 from its reverse (35203), we obtain a triangular number (4950 = T99).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29929 + 324 = 173^2 + 18^2 .

It is a cyclic number.

It is not a de Polignac number, because 30253 - 29 = 29741 is a prime.

30253 is a lucky number.

It is equal to p3271 and since 30253 and 3271 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15126 + 15127.

It is an arithmetic number, because the mean of its divisors is an integer number (15127).

230253 is an apocalyptic number.

It is an amenable number.

30253 is a deficient number, since it is larger than the sum of its proper divisors (1).

30253 is an equidigital number, since it uses as much as digits as its factorization.

30253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 30253 is about 173.9338954891. The cubic root of 30253 is about 31.1594284175.

The spelling of 30253 in words is "thirty thousand, two hundred fifty-three".