400113 has 32 divisors (see below), whose sum is σ = 710400. Its totient is φ = 217728.

The previous prime is 400109. The next prime is 400123. The reversal of 400113 is 311004.

It is not a de Polignac number, because 400113 - 2² = 400109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

400113 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 400095 and 400104.

It is not an unprimeable number, because it can be changed into a prime (400123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5445 + ... + 5517.

It is an arithmetic number, because the mean of its divisors is an integer number (22200).

2⁴⁰⁰¹¹³ is an apocalyptic number.

It is an amenable number.

400113 is a deficient number, since it is larger than the sum of its proper divisors (310287).

400113 is a wasteful number, since it uses less digits than its factorization.

400113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

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

The square root of 400113 is about 632.5448600692. The cubic root of 400113 is about 73.6875675789.

Adding to 400113 its reverse (311004), we get a palindrome (711117).

The spelling of 400113 in words is "four hundred thousand, one hundred thirteen".