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32325 = 352431
BaseRepresentation
bin111111001000101
31122100020
413321011
52013300
6405353
7163146
oct77105
948306
1032325
1122317
1216859
1311937
14bacd
1598a0
hex7e45

32325 has 12 divisors (see below), whose sum is σ = 53568. Its totient is φ = 17200.

The previous prime is 32323. The next prime is 32327. The reversal of 32325 is 52323.

It is an interprime number because it is at equal distance from previous prime (32323) and next prime (32327).

It is not a de Polignac number, because 32325 - 21 = 32323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a d-powerful number, because it can be written as 32 + 26 + 35 + 214 + 56 .

It is an alternating number because its digits alternate between odd and even.

32325 is a lucky 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 32325.

It is not an unprimeable number, because it can be changed into a prime (32321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

232325 is an apocalyptic number.

It is an amenable number.

32325 is a deficient number, since it is larger than the sum of its proper divisors (21243).

32325 is a wasteful number, since it uses less digits than its factorization.

32325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 439 counting only the distinct ones).

The product of its digits is 180, while the sum is 15.

The square root of 32325 is about 179.7915459637. The cubic root of 32325 is about 31.8551394927.

Adding to 32325 its reverse (52323), we get a palindrome (84648).

The spelling of 32325 in words is "thirty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 75 431 1293 2155 6465 10775 32325