1075257 has 12 divisors (see below), whose sum is σ = 1595620. Its totient is φ = 697248.

The previous prime is 1075241. The next prime is 1075259. The reversal of 1075257 is 7525701.

It can be written as a sum of positive squares in 2 ways, for example, as 670761 + 404496 = 819^2 + 636^2 .

It is not a de Polignac number, because 1075257 - 2⁴ = 1075241 is a prime.

It is a Duffinian number.

1075257 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1075257.

It is not an unprimeable number, because it can be changed into a prime (1075259) 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, 1282 + ... + 1947.

2^1075257 is an apocalyptic number.

It is an amenable number.

1075257 is a deficient number, since it is larger than the sum of its proper divisors (520363).

1075257 is a wasteful number, since it uses less digits than its factorization.

1075257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 1075257 is about 1036.9459966652. The cubic root of 1075257 is about 102.4481435096.

The spelling of 1075257 in words is "one million, seventy-five thousand, two hundred fifty-seven".