40385 has 8 divisors (see below), whose sum is σ = 49896. Its totient is φ = 31360.

The previous prime is 40361. The next prime is 40387. The reversal of 40385 is 58304.

40385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5041 + 35344 = 71^2 + 188^2 .

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

It is not a de Polignac number, because 40385 - 2⁸ = 40129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (6237).

2⁴⁰³⁸⁵ is an apocalyptic number.

It is an amenable number.

40385 is a deficient number, since it is larger than the sum of its proper divisors (9511).

40385 is a wasteful number, since it uses less digits than its factorization.

40385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 40385 is about 200.9601950636. The cubic root of 40385 is about 34.3088922311.

Adding to 40385 its reverse (58304), we get a palindrome (98689).

It can be divided in two parts, 40 and 385, that multiplied together give a triangular number (15400 = T₁₇₅).

The spelling of 40385 in words is "forty thousand, three hundred eighty-five".