4213827 has 12 divisors (see below), whose sum is σ = 6161064. Its totient is φ = 2774880.

The previous prime is 4213817. The next prime is 4213837. The reversal of 4213827 is 7283124.

It is an interprime number because it is at equal distance from previous prime (4213817) and next prime (4213837).

It is not a de Polignac number, because 4213827 - 2¹⁴ = 4197443 is a prime.

It is a d-powerful number, because it can be written as 4⁷ + 2²¹ + 1 + 3⁶ + 8 + 2²¹ + 7⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 4213827.

It is not an unprimeable number, because it can be changed into a prime (4213817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2074 + ... + 3567.

It is an arithmetic number, because the mean of its divisors is an integer number (513422).

Almost surely, 2^4213827 is an apocalyptic number.

4213827 is a deficient number, since it is larger than the sum of its proper divisors (1947237).

4213827 is a wasteful number, since it uses less digits than its factorization.

4213827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5727 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4213827 is about 2052.7608238662. The cubic root of 4213827 is about 161.5197252471.

The spelling of 4213827 in words is "four million, two hundred thirteen thousand, eight hundred twenty-seven".