1057112 has 32 divisors (see below), whose sum is σ = 2323200. Its totient is φ = 441504.

The previous prime is 1057093. The next prime is 1057117. The reversal of 1057112 is 2117501.

It is a super-2 number, since 2×1057112² = 2234971561088, which contains 22 as substring.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2189 + ... + 2627.

It is an arithmetic number, because the mean of its divisors is an integer number (72600).

2^1057112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161600).

1057112 is an abundant number, since it is smaller than the sum of its proper divisors (1266088).

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

1057112 is a wasteful number, since it uses less digits than its factorization.

1057112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 1057112 is about 1028.1595206971. The cubic root of 1057112 is about 101.8685992190.

The spelling of 1057112 in words is "one million, fifty-seven thousand, one hundred twelve".