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65125 = 53521
BaseRepresentation
bin1111111001100101
310022100001
433321211
54041000
61221301
7360604
oct177145
9108301
1065125
1144a25
1231831
1323848
1419a3b
151446a
hexfe65

65125 has 8 divisors (see below), whose sum is σ = 81432. Its totient is φ = 52000.

The previous prime is 65123. The next prime is 65129. The reversal of 65125 is 52156.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6561 + 58564 = 81^2 + 242^2 .

It is not a de Polignac number, because 65125 - 21 = 65123 is a prime.

It is a Duffinian number.

65125 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136 + ... + 385.

It is an arithmetic number, because the mean of its divisors is an integer number (10179).

265125 is an apocalyptic number.

It is an amenable number.

65125 is a deficient number, since it is larger than the sum of its proper divisors (16307).

65125 is an equidigital number, since it uses as much as digits as its factorization.

65125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its digits is 300, while the sum is 19.

The square root of 65125 is about 255.1960031035. The cubic root of 65125 is about 40.2330149649.

It can be divided in two parts, 651 and 25, that added together give a palindrome (676).

The spelling of 65125 in words is "sixty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 521 2605 13025 65125