1001457 has 16 divisors (see below), whose sum is σ = 1536000. Its totient is φ = 644112.

The previous prime is 1001447. The next prime is 1001459. The reversal of 1001457 is 7541001.

It is not a de Polignac number, because 1001457 - 2¹⁵ = 968689 is a prime.

It is a super-2 number, since 2×1001457² = 2005832245698, which contains 22 as substring.

1001457 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1001459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144 + ... + 1422.

It is an arithmetic number, because the mean of its divisors is an integer number (96000).

2^1001457 is an apocalyptic number.

It is an amenable number.

1001457 is a deficient number, since it is larger than the sum of its proper divisors (534543).

1001457 is a wasteful number, since it uses less digits than its factorization.

1001457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1001457 is about 1000.7282348370. The cubic root of 1001457 is about 100.0485430985.

Adding to 1001457 its reverse (7541001), we get a palindrome (8542458).

The spelling of 1001457 in words is "one million, one thousand, four hundred fifty-seven".