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35125 = 53281
BaseRepresentation
bin1000100100110101
31210011221
420210311
52111000
6430341
7204256
oct104465
953157
1035125
1124432
12183b1
1312cac
14cb2d
15a61a
hex8935

35125 has 8 divisors (see below), whose sum is σ = 43992. Its totient is φ = 28000.

The previous prime is 35117. The next prime is 35129. The reversal of 35125 is 52153.

It can be written as a sum of positive squares in 4 ways, for example, as 529 + 34596 = 23^2 + 186^2 .

It is a sliding number, since 35125 = 3125 + 32000 and 1/3125 + 1/32000 = 0.00035125.

It is not a de Polignac number, because 35125 - 23 = 35117 is a prime.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 35099 and 35108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 265.

It is an arithmetic number, because the mean of its divisors is an integer number (5499).

235125 is an apocalyptic number.

It is an amenable number.

35125 is a deficient number, since it is larger than the sum of its proper divisors (8867).

35125 is an equidigital number, since it uses as much as digits as its factorization.

35125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its digits is 150, while the sum is 16.

The square root of 35125 is about 187.4166481399. The cubic root of 35125 is about 32.7495581006.

Adding to 35125 its reverse (52153), we get a palindrome (87278).

The spelling of 35125 in words is "thirty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 281 1405 7025 35125