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35325 = 3252157
BaseRepresentation
bin1000100111111101
31210110100
420213331
52112300
6431313
7204663
oct104775
953410
1035325
11245a4
1218539
1313104
14cc33
15a700
hex89fd

35325 has 18 divisors (see below), whose sum is σ = 63674. Its totient is φ = 18720.

The previous prime is 35323. The next prime is 35327. The reversal of 35325 is 52353.

It is an interprime number because it is at equal distance from previous prime (35323) and next prime (35327).

It can be written as a sum of positive squares in 3 ways, for example, as 729 + 34596 = 27^2 + 186^2 .

It is not a de Polignac number, because 35325 - 21 = 35323 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 35298 and 35307.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35325.

It is not an unprimeable number, because it can be changed into a prime (35323) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 147 + ... + 303.

235325 is an apocalyptic number.

It is an amenable number.

35325 is a deficient number, since it is larger than the sum of its proper divisors (28349).

35325 is a wasteful number, since it uses less digits than its factorization.

35325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 35325 is about 187.9494612921. The cubic root of 35325 is about 32.8115986147.

Adding to 35325 its reverse (52353), we get a palindrome (87678).

It can be divided in two parts, 353 and 25, that added together give a triangular number (378 = T27).

The spelling of 35325 in words is "thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 157 225 471 785 1413 2355 3925 7065 11775 35325