257414 has 16 divisors (see below), whose sum is σ = 418608. Its totient is φ = 118272.

The previous prime is 257407. The next prime is 257437. The reversal of 257414 is 414752.

257414 = T₅₂ + T₅₃ + ... + T₁₁₈.

257414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2222 + ... + 2334.

It is an arithmetic number, because the mean of its divisors is an integer number (26163).

2²⁵⁷⁴¹⁴ is an apocalyptic number.

257414 is a deficient number, since it is larger than the sum of its proper divisors (161194).

257414 is a wasteful number, since it uses less digits than its factorization.

257414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199.

The product of its digits is 1120, while the sum is 23.

The square root of 257414 is about 507.3598328603. The cubic root of 257414 is about 63.6127329701.

The spelling of 257414 in words is "two hundred fifty-seven thousand, four hundred fourteen".