814 has 8 divisors (see below), whose sum is σ = 1368. Its totient is φ = 360.

The previous prime is 811. The next prime is 821. The reversal of 814 is 418.

814 = 3² + 4² + ... + 13².

814 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

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

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

814 is an undulating number in base 6.

It is a plaindrome in base 5, base 8 and base 12.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 794 and 803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4 + ... + 40.

It is an arithmetic number, because the mean of its divisors is an integer number (171).

814 is a deficient number, since it is larger than the sum of its proper divisors (554).

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

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

The sum of its prime factors is 50.

The product of its digits is 32, while the sum is 13.

The square root of 814 is about 28.5306852354. The cubic root of 814 is about 9.3370166868.

It can be divided in two parts, 81 and 4, that multiplied together give a square (324 = 18²).

The spelling of 814 in words is "eight hundred fourteen", and thus it is an aban number.