42828257 has 2 divisors, whose sum is σ = 42828258. Its totient is φ = 42828256.

The previous prime is 42828251. The next prime is 42828259. The reversal of 42828257 is 75282824.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41075281 + 1752976 = 6409^2 + 1324^2 .

It is a cyclic number.

It is not a de Polignac number, because 42828257 - 2¹² = 42824161 is a prime.

Together with 42828259, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_2594846 and since 42828257 and 2594846 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42828257.

It is not a weakly prime, because it can be changed into another prime (42828251) 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 as a sum of consecutive naturals, namely, 21414128 + 21414129.

It is an arithmetic number, because the mean of its divisors is an integer number (21414129).

Almost surely, 2^42828257 is an apocalyptic number.

It is an amenable number.

42828257 is a deficient number, since it is larger than the sum of its proper divisors (1).

42828257 is an equidigital number, since it uses as much as digits as its factorization.

42828257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 71680, while the sum is 38.

The square root of 42828257 is about 6544.3301414278. The cubic root of 42828257 is about 349.8727619131.

The spelling of 42828257 in words is "forty-two million, eight hundred twenty-eight thousand, two hundred fifty-seven".