257352 has 16 divisors (see below), whose sum is σ = 643440. Its totient is φ = 85776.

The previous prime is 257351. The next prime is 257353. The reversal of 257352 is 253752.

It is an interprime number because it is at equal distance from previous prime (257351) and next prime (257353).

It is a super-3 number, since 3×257352³ = 51133308952794624, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 10723 = 257352 / (2 + 5 + 7 + 3 + 5 + 2).

It is a d-powerful number, because it can be written as 2¹⁰ + 5² + 3¹¹ + 7 + 5⁷ + 2¹⁰ .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (257351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5338 + ... + 5385.

It is an arithmetic number, because the mean of its divisors is an integer number (40215).

2²⁵⁷³⁵² is an apocalyptic number.

It is an amenable number.

257352 is an abundant number, since it is smaller than the sum of its proper divisors (386088).

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

257352 is a wasteful number, since it uses less digits than its factorization.

257352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10732 (or 10728 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 257352 is about 507.2987285614. The cubic root of 257352 is about 63.6076253663.

Subtracting from 257352 its reverse (253752), we obtain a square (3600 = 60²).

The spelling of 257352 in words is "two hundred fifty-seven thousand, three hundred fifty-two".