814228541 has 12 divisors (see below), whose sum is σ = 950413212. Its totient is φ = 695515968.

The previous prime is 814228531. The next prime is 814228561. The reversal of 814228541 is 145822418.

It can be written as a sum of positive squares in 2 ways, for example, as 676260025 + 137968516 = 26005^2 + 11746^2 .

It is not a de Polignac number, because 814228541 - 2¹⁰ = 814227517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814228511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14000 + ... + 42713.

It is an arithmetic number, because the mean of its divisors is an integer number (79201101).

Almost surely, 2^814228541 is an apocalyptic number.

It is an amenable number.

814228541 is a deficient number, since it is larger than the sum of its proper divisors (136184671).

814228541 is a wasteful number, since it uses less digits than its factorization.

814228541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57020 (or 57013 counting only the distinct ones).

The product of its digits is 20480, while the sum is 35.

The square root of 814228541 is about 28534.6901332396. The cubic root of 814228541 is about 933.7890434306.

The spelling of 814228541 in words is "eight hundred fourteen million, two hundred twenty-eight thousand, five hundred forty-one".