257123447 has 32 divisors (see below), whose sum is σ = 318827520. Its totient is φ = 202487040.

The previous prime is 257123431. The next prime is 257123467. The reversal of 257123447 is 744321752.

It is not a de Polignac number, because 257123447 - 2⁴ = 257123431 is a prime.

It is a super-2 number, since 2×257123447² = 132224933994323618, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257123407) 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 in 31 ways as a sum of consecutive naturals, for example, 689153 + ... + 689525.

It is an arithmetic number, because the mean of its divisors is an integer number (9963360).

Almost surely, 2^257123447 is an apocalyptic number.

257123447 is a deficient number, since it is larger than the sum of its proper divisors (61704073).

257123447 is a wasteful number, since it uses less digits than its factorization.

257123447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543.

The product of its digits is 47040, while the sum is 35.

The square root of 257123447 is about 16035.0692857873. The cubic root of 257123447 is about 635.8878992000.

The spelling of 257123447 in words is "two hundred fifty-seven million, one hundred twenty-three thousand, four hundred forty-seven".