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53117 is a prime number
BaseRepresentation
bin1100111101111101
32200212022
430331331
53144432
61045525
7310601
oct147575
980768
1053117
11369a9
12268a5
131b23c
1415501
1510b12
hexcf7d

53117 has 2 divisors, whose sum is σ = 53118. Its totient is φ = 53116.

The previous prime is 53113. The next prime is 53129. The reversal of 53117 is 71135.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52441 + 676 = 229^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 53117 - 22 = 53113 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 53095 and 53104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26558 + 26559.

It is an arithmetic number, because the mean of its divisors is an integer number (26559).

253117 is an apocalyptic number.

It is an amenable number.

53117 is a deficient number, since it is larger than the sum of its proper divisors (1).

53117 is an equidigital number, since it uses as much as digits as its factorization.

53117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105, while the sum is 17.

The square root of 53117 is about 230.4712563423. The cubic root of 53117 is about 37.5904778211.

The spelling of 53117 in words is "fifty-three thousand, one hundred seventeen".