814014 has 24 divisors (see below), whose sum is σ = 1808352. Its totient is φ = 264480.

The previous prime is 814013. The next prime is 814019. The reversal of 814014 is 410418.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 814014.

It is not an unprimeable number, because it can be changed into a prime (814013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (75348).

2⁸¹⁴⁰¹⁴ is an apocalyptic number.

814014 is an abundant number, since it is smaller than the sum of its proper divisors (994338).

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

814014 is a wasteful number, since it uses less digits than its factorization.

814014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 814014 is about 902.2272441021. The cubic root of 814014 is about 93.3707021564.

It can be divided in two parts, 81 and 4014, that added together give a triangular number (4095 = T₉₀).

The spelling of 814014 in words is "eight hundred fourteen thousand, fourteen".