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332465 = 5722359
BaseRepresentation
bin1010001001010110001
3121220001112
41101022301
541114330
611043105
72553200
oct1211261
9556045
10332465
11207871
12140495
13b8433
1489237
1568795
hex512b1

332465 has 24 divisors (see below), whose sum is σ = 492480. Its totient is φ = 214368.

The previous prime is 332461. The next prime is 332467. The reversal of 332465 is 564233.

332465 = T203 + T204 + ... + T217.

It is not a de Polignac number, because 332465 - 22 = 332461 is a prime.

It is a super-2 number, since 2×3324652 = 221065952450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a d-powerful number, because it can be written as 38 + 311 + 47 + 217 + 64 + 5 .

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 332465.

It is not an unprimeable number, because it can be changed into a prime (332461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5606 + ... + 5664.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2332465 is an apocalyptic number.

332465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

332465 is a deficient number, since it is larger than the sum of its proper divisors (160015).

332465 is a wasteful number, since it uses less digits than its factorization.

332465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its digits is 2160, while the sum is 23.

The square root of 332465 is about 576.5977800859. The cubic root of 332465 is about 69.2758682090.

Adding to 332465 its reverse (564233), we get a palindrome (896698).

It can be divided in two parts, 332 and 465, that added together give a palindrome (797).

The spelling of 332465 in words is "three hundred thirty-two thousand, four hundred sixty-five".

Divisors: 1 5 7 23 35 49 59 115 161 245 295 413 805 1127 1357 2065 2891 5635 6785 9499 14455 47495 66493 332465