4020257 has 2 divisors, whose sum is σ = 4020258. Its totient is φ = 4020256.

The previous prime is 4020227. The next prime is 4020277. The reversal of 4020257 is 7520204.

It is an a-pointer prime, because the next prime (4020277) can be obtained adding 4020257 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2819041 + 1201216 = 1679^2 + 1096^2 .

It is a cyclic number.

It is not a de Polignac number, because 4020257 - 2¹² = 4016161 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4020217) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2010128 + 2010129.

It is an arithmetic number, because the mean of its divisors is an integer number (2010129).

Almost surely, 2^4020257 is an apocalyptic number.

It is an amenable number.

4020257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4020257 is an equidigital number, since it uses as much as digits as its factorization.

4020257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 4020257 is about 2005.0578545269. The cubic root of 4020257 is about 159.0076206413.

The spelling of 4020257 in words is "four million, twenty thousand, two hundred fifty-seven".