2465 has 8 divisors (see below), whose sum is σ = 3240. Its totient is φ = 1792.

The previous prime is 2459. The next prime is 2467. The reversal of 2465 is 5642.

Multipling 2465 by its sum of digits (17), we get a triangular number (41905 = T_{289}).

2465 = 3^{2} + 4^{2} + ... + 19^{2}.

2465 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 529 + 1936 = 23^2 + 44^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 2-Lehmer number, since φ(2465) divides (2465-1)^{2}.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2^{k}-2465 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a magnanimous number.

It is a d-powerful number, because it can be written as **2**^{11} + **6**^{2} + **4**^{4} + **5**^{3} .

2465 is an undulating number in base 12.

It is a Curzon number.

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71 + ... + 99.

It is an arithmetic number, because the mean of its divisors is an integer number (405).

It is the magic constant of a 17 × 17 magic square.

It is a Poulet number, since it divides 2^{2464}-1.

2465 is the 29-th octagonal number.

It is an amenable number.

2465 is a deficient number, since it is larger than the sum of its proper divisors (775).

2465 is a wasteful number, since it uses less digits than its factorization.

2465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51.

The product of its digits is 240, while the sum is 17.

The square root of 2465 is about 49.6487663492. The cubic root of 2465 is about 13.5084537814.

The spelling of 2465 in words is "two thousand, four hundred sixty-five".

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