257732969 has 8 divisors (see below), whose sum is σ = 278098632. Its totient is φ = 237444480.

The previous prime is 257732897. The next prime is 257732989. The reversal of 257732969 is 969237752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 547600 + 257185369 = 740^2 + 16037^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257732969 - 2¹² = 257728873 is a prime.

It is a super-2 number, since 2×257732969² = 132852566619109922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257732989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12254 + ... + 25799.

It is an arithmetic number, because the mean of its divisors is an integer number (34762329).

Almost surely, 2^257732969 is an apocalyptic number.

It is an amenable number.

257732969 is a deficient number, since it is larger than the sum of its proper divisors (20365663).

257732969 is a wasteful number, since it uses less digits than its factorization.

257732969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38587.

The product of its digits is 1428840, while the sum is 50.

The square root of 257732969 is about 16054.0639403236. The cubic root of 257732969 is about 636.3899690643.

The spelling of 257732969 in words is "two hundred fifty-seven million, seven hundred thirty-two thousand, nine hundred sixty-nine".