10465 has 16 divisors (see below), whose sum is σ = 16128. Its totient is φ = 6336.

The previous prime is 10463. The next prime is 10477. The reversal of 10465 is 56401.

It is a cyclic number.

It is not a de Polignac number, because 10465 - 2¹ = 10463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444 + ... + 466.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2¹⁰⁴⁶⁵ is an apocalyptic number.

10465 is the 65-th heptagonal number.

It is an amenable number.

10465 is a deficient number, since it is larger than the sum of its proper divisors (5663).

10465 is a wasteful number, since it uses less digits than its factorization.

10465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10465 is about 102.2985825904. The cubic root of 10465 is about 21.8732379533.

Adding to 10465 its product of nonzero digits (120), we get a triangular number (10585 = T₁₄₅).

Adding to 10465 its reverse (56401), we get a palindrome (66866).

It can be divided in two parts, 104 and 65, that added together give a square (169 = 13²).

The spelling of 10465 in words is "ten thousand, four hundred sixty-five".