257653 has 8 divisors (see below), whose sum is σ = 286560. Its totient is φ = 229680.

The previous prime is 257639. The next prime is 257657. The reversal of 257653 is 356752.

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

It is not a de Polignac number, because 257653 - 2⁹ = 257141 is a prime.

It is a Duffinian number.

257653 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (35820).

2²⁵⁷⁶⁵³ is an apocalyptic number.

It is an amenable number.

257653 is a deficient number, since it is larger than the sum of its proper divisors (28907).

257653 is a wasteful number, since it uses less digits than its factorization.

257653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its digits is 6300, while the sum is 28.

The square root of 257653 is about 507.5953112471. The cubic root of 257653 is about 63.6324142880.

Subtracting 257653 from its reverse (356752), we obtain a palindrome (99099).

The spelling of 257653 in words is "two hundred fifty-seven thousand, six hundred fifty-three".