814485 has 16 divisors (see below), whose sum is σ = 1489536. Its totient is φ = 372288.

The previous prime is 814477. The next prime is 814493. The reversal of 814485 is 584418.

814485 = T₁₉₈ + T₁₉₉ + ... + T₂₃₂.

It is an interprime number because it is at equal distance from previous prime (814477) and next prime (814493).

It is not a de Polignac number, because 814485 - 2³ = 814477 is a prime.

814485 is a lucky number.

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 814485.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3774 + ... + 3983.

It is an arithmetic number, because the mean of its divisors is an integer number (93096).

2⁸¹⁴⁴⁸⁵ is an apocalyptic number.

It is an amenable number.

814485 is a deficient number, since it is larger than the sum of its proper divisors (675051).

814485 is a wasteful number, since it uses less digits than its factorization.

814485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772.

The product of its digits is 5120, while the sum is 30.

The square root of 814485 is about 902.4882270700. The cubic root of 814485 is about 93.3887072200.

The spelling of 814485 in words is "eight hundred fourteen thousand, four hundred eighty-five".