814113 has 18 divisors (see below), whose sum is σ = 1253174. Its totient is φ = 509184.

The previous prime is 814097. The next prime is 814127. The reversal of 814113 is 311418.

814113 = 9³ + 10³ + ... + 42³.

It can be written as a sum of positive squares in 3 ways, for example, as 88209 + 725904 = 297^2 + 852^2 .

It is not a de Polignac number, because 814113 - 2⁴ = 814097 is a prime.

It is a super-3 number, since 3×814113³ = 1618733385682022691, which contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814183) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2445 + ... + 2757.

2⁸¹⁴¹¹³ is an apocalyptic number.

It is an amenable number.

814113 is a deficient number, since it is larger than the sum of its proper divisors (439061).

814113 is a wasteful number, since it uses less digits than its factorization.

814113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 333 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 814113 is about 902.2821066607. The cubic root of 814113 is about 93.3744872366.

The spelling of 814113 in words is "eight hundred fourteen thousand, one hundred thirteen".