427257 has 12 divisors (see below), whose sum is σ = 638820. Its totient is φ = 274848.

The previous prime is 427249. The next prime is 427279. The reversal of 427257 is 752724.

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 331776 = 309^2 + 576^2 .

It is not a de Polignac number, because 427257 - 2³ = 427249 is a prime.

It is a d-powerful number, because it can be written as 4² + 2¹⁰ + 2¹⁴ + 7⁴ + 5⁸ + 7⁵ .

427257 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 427257.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427257.

It is not an unprimeable number, because it can be changed into a prime (427237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

2⁴²⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

427257 is a deficient number, since it is larger than the sum of its proper divisors (211563).

427257 is a wasteful number, since it uses less digits than its factorization.

427257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1669 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 427257 is about 653.6489883722. The cubic root of 427257 is about 75.3175866183.

It can be divided in two parts, 4 and 27257, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 427257 in words is "four hundred twenty-seven thousand, two hundred fifty-seven".