257893949 has 2 divisors, whose sum is σ = 257893950. Its totient is φ = 257893948.

The previous prime is 257893931. The next prime is 257893967. The reversal of 257893949 is 949398752.

It is a balanced prime because it is at equal distance from previous prime (257893931) and next prime (257893967).

It can be written as a sum of positive squares in only one way, i.e., 160022500 + 97871449 = 12650^2 + 9893^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257893949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257893894 and 257893903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257893969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128946974 + 128946975.

It is an arithmetic number, because the mean of its divisors is an integer number (128946975).

Almost surely, 2^257893949 is an apocalyptic number.

It is an amenable number.

257893949 is a deficient number, since it is larger than the sum of its proper divisors (1).

257893949 is an equidigital number, since it uses as much as digits as its factorization.

257893949 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4898880, while the sum is 56.

The square root of 257893949 is about 16059.0768414626. The cubic root of 257893949 is about 636.5224378695.

The spelling of 257893949 in words is "two hundred fifty-seven million, eight hundred ninety-three thousand, nine hundred forty-nine".