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33525 = 3252149
BaseRepresentation
bin1000001011110101
31200222200
420023311
52033100
6415113
7166512
oct101365
950880
1033525
1123208
1217499
131234b
14c309
159e00
hex82f5

33525 has 18 divisors (see below), whose sum is σ = 60450. Its totient is φ = 17760.

The previous prime is 33521. The next prime is 33529. The reversal of 33525 is 52533.

33525 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (33521) and next prime (33529).

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 33489 = 6^2 + 183^2 .

It is not a de Polignac number, because 33525 - 22 = 33521 is a prime.

It is a super-2 number, since 2×335252 = 2247851250, which contains 22 as substring.

It is an Ulam number.

33525 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 33498 and 33507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33521) 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, 151 + ... + 299.

233525 is an apocalyptic number.

It is an amenable number.

33525 is a deficient number, since it is larger than the sum of its proper divisors (26925).

33525 is a wasteful number, since it uses less digits than its factorization.

33525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

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

The square root of 33525 is about 183.0983342360. The cubic root of 33525 is about 32.2445456794.

The spelling of 33525 in words is "thirty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 149 225 447 745 1341 2235 3725 6705 11175 33525