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3465 = 325711
BaseRepresentation
bin110110001001
311202100
4312021
5102330
624013
713050
oct6611
94670
103465
112670
122009
131767
141397
151060
hexd89

3465 has 24 divisors (see below), whose sum is σ = 7488. Its totient is φ = 1440.

The previous prime is 3463. The next prime is 3467. The reversal of 3465 is 5643.

It can be divided in two parts, 346 and 5, that added together give a triangular number (351 = T26).

It is a happy number.

3465 is digitally balanced in base 2, because in such base 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 (3463) and next prime (3467).

It is not a de Polignac number, because 3465 - 21 = 3463 is a prime.

3465 is a lucky number.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (3461) 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, 310 + ... + 320.

It is an arithmetic number, because the mean of its divisors is an integer number (312).

23465 is an apocalyptic number.

3465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3465 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744).

3465 is a wasteful number, since it uses less digits than its factorization.

3465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 26 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 3465 is about 58.8642506110. The cubic root of 3465 is about 15.1321654003.

The spelling of 3465 in words is "three thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465