40205 has 16 divisors (see below), whose sum is σ = 57024. Its totient is φ = 26880.

The previous prime is 40193. The next prime is 40213. The reversal of 40205 is 50204.

40205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40205 - 2⁴ = 40189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 914 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (3564).

2⁴⁰²⁰⁵ is an apocalyptic number.

It is an amenable number.

40205 is a deficient number, since it is larger than the sum of its proper divisors (16819).

40205 is a wasteful number, since it uses less digits than its factorization.

40205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 40205 is about 200.5118450366. The cubic root of 40205 is about 34.2578435869.

40205 divided by its sum of digits (11) gives a triangular number (3655 = T₈₅).

Adding to 40205 its reverse (50204), we get a palindrome (90409).

Subtracting 40205 from its reverse (50204), we obtain a palindrome (9999).

It can be divided in two parts, 4020 and 5, that multiplied together give a triangular number (20100 = T₂₀₀).

The spelling of 40205 in words is "forty thousand, two hundred five".