40292 has 12 divisors (see below), whose sum is σ = 80640. Its totient is φ = 17256.

The previous prime is 40289. The next prime is 40343. The reversal of 40292 is 29204.

40292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

40292 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 40292.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40292.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 692 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2⁴⁰²⁹² is an apocalyptic number.

It is an amenable number.

40292 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

40292 is a wasteful number, since it uses less digits than its factorization.

40292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 40292 is about 200.7286725906. The cubic root of 40292 is about 34.2825360811.

Adding to 40292 its reverse (29204), we get a palindrome (69496).

It can be divided in two parts, 402 and 92, that added together give a palindrome (494).

The spelling of 40292 in words is "forty thousand, two hundred ninety-two".