257772997 has 2 divisors, whose sum is σ = 257772998. Its totient is φ = 257772996.

The previous prime is 257772961. The next prime is 257773031. The reversal of 257772997 is 799277752.

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., 256448196 + 1324801 = 16014^2 + 1151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257772997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257772197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128886498 + 128886499.

It is an arithmetic number, because the mean of its divisors is an integer number (128886499).

Almost surely, 2^257772997 is an apocalyptic number.

It is an amenable number.

257772997 is a deficient number, since it is larger than the sum of its proper divisors (1).

257772997 is an equidigital number, since it uses as much as digits as its factorization.

257772997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3889620, while the sum is 55.

The square root of 257772997 is about 16055.3105544552. The cubic root of 257772997 is about 636.4229128500.

The spelling of 257772997 in words is "two hundred fifty-seven million, seven hundred seventy-two thousand, nine hundred ninety-seven".