257348 has 36 divisors (see below), whose sum is σ = 569772. Its totient is φ = 100800.

The previous prime is 257339. The next prime is 257351. The reversal of 257348 is 843752.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 103684 = 392^2 + 322^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 257348.

It is an unprimeable number.

257348 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2498 + ... + 2598.

It is an arithmetic number, because the mean of its divisors is an integer number (15827).

2²⁵⁷³⁴⁸ is an apocalyptic number.

257348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284886).

257348 is an abundant number, since it is smaller than the sum of its proper divisors (312424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257348 is a wasteful number, since it uses less digits than its factorization.

257348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 257348 is about 507.2947860958. The cubic root of 257348 is about 63.6072958153.

The spelling of 257348 in words is "two hundred fifty-seven thousand, three hundred forty-eight".