1257126 has 32 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 379680.

The previous prime is 1257119. The next prime is 1257131. The reversal of 1257126 is 6217521.

1257126 = 40² + 41² + ... + 156².

It is a junction number, because it is equal to n+sod(n) for n = 1257096 and 1257105.

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 15 ways as a sum of consecutive naturals, for example, 5425 + ... + 5651.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

2^1257126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

1257126 is an abundant number, since it is smaller than the sum of its proper divisors (1500762).

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

1257126 is a wasteful number, since it uses less digits than its factorization.

1257126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316.

The product of its digits is 840, while the sum is 24.

The square root of 1257126 is about 1121.2163038415. The cubic root of 1257126 is about 107.9260467656.

The spelling of 1257126 in words is "one million, two hundred fifty-seven thousand, one hundred twenty-six".