4182824021 has 2 divisors, whose sum is σ = 4182824022. Its totient is φ = 4182824020.

The previous prime is 4182823969. The next prime is 4182824033. The reversal of 4182824021 is 1204282814.

4182824021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4084615921 + 98208100 = 63911^2 + 9910^2 .

It is a cyclic number.

It is not a de Polignac number, because 4182824021 - 2¹⁰ = 4182822997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4182824221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2091412010 + 2091412011.

It is an arithmetic number, because the mean of its divisors is an integer number (2091412011).

Almost surely, 2^4182824021 is an apocalyptic number.

It is an amenable number.

4182824021 is a deficient number, since it is larger than the sum of its proper divisors (1).

4182824021 is an equidigital number, since it uses as much as digits as its factorization.

4182824021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4182824021 is about 64674.7556701995. The cubic root of 4182824021 is about 1611.2262587907.

The spelling of 4182824021 in words is "four billion, one hundred eighty-two million, eight hundred twenty-four thousand, twenty-one".