814249821 has 16 divisors (see below), whose sum is σ = 1353558528. Its totient is φ = 422986800.

The previous prime is 814249801. The next prime is 814249847. The reversal of 814249821 is 128942418.

814249821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 814249821 - 2⁵ = 814249789 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 814249821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814249801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1762215 + ... + 1762676.

It is an arithmetic number, because the mean of its divisors is an integer number (84597408).

Almost surely, 2^814249821 is an apocalyptic number.

It is an amenable number.

814249821 is a deficient number, since it is larger than the sum of its proper divisors (539308707).

814249821 is a wasteful number, since it uses less digits than its factorization.

814249821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524912.

The product of its digits is 36864, while the sum is 39.

The square root of 814249821 is about 28535.0630102686. The cubic root of 814249821 is about 933.7971782710.

The spelling of 814249821 in words is "eight hundred fourteen million, two hundred forty-nine thousand, eight hundred twenty-one".