Search a number
-
+
33285 = 357317
BaseRepresentation
bin1000001000000101
31200122210
420020011
52031120
6414033
7166020
oct101005
950583
1033285
112300a
1217319
13121c5
14c1b7
159ce0
hex8205

33285 has 16 divisors (see below), whose sum is σ = 61056. Its totient is φ = 15168.

The previous prime is 33247. The next prime is 33287. The reversal of 33285 is 58233.

33285 = T94 + T95 + ... + T100.

It is not a de Polignac number, because 33285 - 28 = 33029 is a prime.

It is a super-2 number, since 2×332852 = 2215782450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

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 33285.

It is not an unprimeable number, because it can be changed into a prime (33287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (3816).

233285 is an apocalyptic number.

33285 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33285 is a deficient number, since it is larger than the sum of its proper divisors (27771).

33285 is a wasteful number, since it uses less digits than its factorization.

33285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332.

The product of its digits is 720, while the sum is 21.

The square root of 33285 is about 182.4417715327. The cubic root of 33285 is about 32.1674168557.

It can be divided in two parts, 3328 and 5, that added together give a palindrome (3333).

The spelling of 33285 in words is "thirty-three thousand, two hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 105 317 951 1585 2219 4755 6657 11095 33285