8214057 has 12 divisors (see below), whose sum is σ = 11988340. Its totient is φ = 5419584.

The previous prime is 8214029. The next prime is 8214071. The reversal of 8214057 is 7504128.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 793881 + 7420176 = 891^2 + 2724^2 .

It is not a de Polignac number, because 8214057 - 2¹⁰ = 8213033 is a prime.

It is a Duffinian number.

8214057 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8214057.

It is not an unprimeable number, because it can be changed into a prime (8214007) 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, 84633 + ... + 84729.

Almost surely, 2^8214057 is an apocalyptic number.

It is an amenable number.

8214057 is a deficient number, since it is larger than the sum of its proper divisors (3774283).

8214057 is an frugal number, since it uses more digits than its factorization.

8214057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 8214057 is about 2866.0176203227. The cubic root of 8214057 is about 201.7681308360.

The spelling of 8214057 in words is "eight million, two hundred fourteen thousand, fifty-seven".