257216067 has 20 divisors (see below), whose sum is σ = 393177400. Its totient is φ = 167487264.

The previous prime is 257216039. The next prime is 257216081. The reversal of 257216067 is 760612752.

257216067 is a `hidden beast` number, since 25 + 7 + 21 + 606 + 7 = 666.

It is not a de Polignac number, because 257216067 - 2¹⁵ = 257183299 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257216017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33442 + ... + 40407.

It is an arithmetic number, because the mean of its divisors is an integer number (19658870).

Almost surely, 2^257216067 is an apocalyptic number.

257216067 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

257216067 is a deficient number, since it is larger than the sum of its proper divisors (135961333).

257216067 is an equidigital number, since it uses as much as digits as its factorization.

257216067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73904 (or 73895 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 257216067 is about 16037.9570706496. The cubic root of 257216067 is about 635.9642423827.

The spelling of 257216067 in words is "two hundred fifty-seven million, two hundred sixteen thousand, sixty-seven".