814107 has 8 divisors (see below), whose sum is σ = 1240576. Its totient is φ = 465192.

The previous prime is 814097. The next prime is 814127. The reversal of 814107 is 701418.

814107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 814107 - 2⁶ = 814043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 38767 = 814107 / (8 + 1 + 4 + 1 + 0 + 7).

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (814127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19363 + ... + 19404.

It is an arithmetic number, because the mean of its divisors is an integer number (155072).

2⁸¹⁴¹⁰⁷ is an apocalyptic number.

814107 is a deficient number, since it is larger than the sum of its proper divisors (426469).

814107 is a wasteful number, since it uses less digits than its factorization.

814107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38777.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 814107 is about 902.2787817521. The cubic root of 814107 is about 93.3742578466.

The spelling of 814107 in words is "eight hundred fourteen thousand, one hundred seven".