7825057 has 2 divisors, whose sum is σ = 7825058. Its totient is φ = 7825056.

The previous prime is 7825021. The next prime is 7825091. The reversal of 7825057 is 7505287.

It is an a-pointer prime, because the next prime (7825091) can be obtained adding 7825057 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6145441 + 1679616 = 2479^2 + 1296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7825057 is a prime.

It is a super-3 number, since 3×7825057³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

7825057 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7825757) 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 as a sum of consecutive naturals, namely, 3912528 + 3912529.

It is an arithmetic number, because the mean of its divisors is an integer number (3912529).

Almost surely, 2^7825057 is an apocalyptic number.

It is an amenable number.

7825057 is a deficient number, since it is larger than the sum of its proper divisors (1).

7825057 is an equidigital number, since it uses as much as digits as its factorization.

7825057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 7825057 is about 2797.3303344439. The cubic root of 7825057 is about 198.5313838967.

The spelling of 7825057 in words is "seven million, eight hundred twenty-five thousand, fifty-seven".