40084 has 12 divisors (see below), whose sum is σ = 76608. Its totient is φ = 18200.

The previous prime is 40063. The next prime is 40087. The reversal of 40084 is 48004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁴⁰⁰⁸⁴ is an apocalyptic number.

40084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40084 is a deficient number, since it is larger than the sum of its proper divisors (36524).

40084 is a wasteful number, since it uses less digits than its factorization.

40084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 40084 is about 200.2098898656. The cubic root of 40084 is about 34.2234418585.

Adding to 40084 its reverse (48004), we get a palindrome (88088).

It can be divided in two parts, 400 and 84, that added together give a palindrome (484).

The spelling of 40084 in words is "forty thousand, eighty-four".