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332325 = 32527211
BaseRepresentation
bin1010001001000100101
3121212212100
41101020211
541113300
611042313
72552610
oct1211045
9555770
10332325
11207754
12140399
13b8356
1489177
1568700
hex51225

332325 has 36 divisors (see below), whose sum is σ = 683488. Its totient is φ = 151200.

The previous prime is 332317. The next prime is 332393. The reversal of 332325 is 523233.

It is not a de Polignac number, because 332325 - 23 = 332317 is a prime.

It is a super-2 number, since 2×3323252 = 220879811250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 332298 and 332307.

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 332325.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1470 + ... + 1680.

2332325 is an apocalyptic number.

332325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

332325 is an abundant number, since it is smaller than the sum of its proper divisors (351163).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332325 is a wasteful number, since it uses less digits than its factorization.

332325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its digits is 540, while the sum is 18.

The square root of 332325 is about 576.4763655173. The cubic root of 332325 is about 69.2661428913.

Adding to 332325 its reverse (523233), we get a palindrome (855558).

The spelling of 332325 in words is "three hundred thirty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 211 225 315 525 633 1055 1477 1575 1899 3165 4431 5275 7385 9495 13293 15825 22155 36925 47475 66465 110775 332325