40113 has 6 divisors (see below), whose sum is σ = 57954. Its totient is φ = 26736.

The previous prime is 40111. The next prime is 40123. The reversal of 40113 is 31104.

40113 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 3249 = 192^2 + 57^2 .

It is not a de Polignac number, because 40113 - 2¹ = 40111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 4457 = 40113 / (4 + 0 + 1 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 40095 and 40104.

It is not an unprimeable number, because it can be changed into a prime (40111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2220 + ... + 2237.

It is an arithmetic number, because the mean of its divisors is an integer number (9659).

2⁴⁰¹¹³ is an apocalyptic number.

It is an amenable number.

40113 is a deficient number, since it is larger than the sum of its proper divisors (17841).

40113 is a wasteful number, since it uses less digits than its factorization.

40113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 40113 is about 200.2823007657. The cubic root of 40113 is about 34.2316932021.

Adding to 40113 its reverse (31104), we get a palindrome (71217).

Subtracting from 40113 its reverse (31104), we obtain a palindrome (9009).

It can be divided in two parts, 401 and 13, that added together give a palindrome (414).

The spelling of 40113 in words is "forty thousand, one hundred thirteen".