40365 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 19008.

The previous prime is 40361. The next prime is 40387. The reversal of 40365 is 56304.

It is a happy number.

It is not a de Polignac number, because 40365 - 2² = 40361 is a prime.

It is a zygodrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40365.

It is not an unprimeable number, because it can be changed into a prime (40361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744 + ... + 1766.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2⁴⁰³⁶⁵ is an apocalyptic number.

40365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40365 is a deficient number, since it is larger than the sum of its proper divisors (40275).

40365 is a wasteful number, since it uses less digits than its factorization.

40365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 44 counting only the distinct ones).

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

The square root of 40365 is about 200.9104278030. The cubic root of 40365 is about 34.3032276597.

Adding to 40365 its reverse (56304), we get a palindrome (96669).

The spelling of 40365 in words is "forty thousand, three hundred sixty-five".