1057137 has 12 divisors (see below), whose sum is σ = 1463280. Its totient is φ = 678832.

The previous prime is 1057129. The next prime is 1057157. The reversal of 1057137 is 7317501.

It is not a de Polignac number, because 1057137 - 2³ = 1057129 is a prime.

It is a super-2 number, since 2×1057137² = 2235077273538, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1057117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2314 + ... + 2732.

It is an arithmetic number, because the mean of its divisors is an integer number (121940).

2^1057137 is an apocalyptic number.

It is an amenable number.

1057137 is a deficient number, since it is larger than the sum of its proper divisors (406143).

1057137 is an equidigital number, since it uses as much as digits as its factorization.

1057137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 24.

The square root of 1057137 is about 1028.1716782717. The cubic root of 1057137 is about 101.8694022543.

The spelling of 1057137 in words is "one million, fifty-seven thousand, one hundred thirty-seven".