11645 has 8 divisors (see below), whose sum is σ = 14904. Its totient is φ = 8704.

The previous prime is 11633. The next prime is 11657. The reversal of 11645 is 54611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11633) and next prime (11657).

It can be written as a sum of positive squares in 4 ways, for example, as 2809 + 8836 = 53^2 + 94^2 .

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

It is not a de Polignac number, because 11645 - 2¹² = 7549 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (1863).

2¹¹⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

11645 is a deficient number, since it is larger than the sum of its proper divisors (3259).

11645 is a wasteful number, since it uses less digits than its factorization.

11645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159.

The product of its digits is 120, while the sum is 17.

The square root of 11645 is about 107.9120011862. The cubic root of 11645 is about 22.6662581626. Note that the first 3 decimals are identical.

Subtracting from 11645 its sum of digits (17), we obtain a triangular number (11628 = T₁₅₂).

It can be divided in two parts, 116 and 45, that added together give a palindrome (161).

The spelling of 11645 in words is "eleven thousand, six hundred forty-five".