1057312 has 48 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 476928.

The previous prime is 1057307. The next prime is 1057361. The reversal of 1057312 is 2137501.

It is a super-2 number, since 2×1057312² = 2235817330688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 1057312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22473 + ... + 22519.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2^1057312 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 1057312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

1057312 is an abundant number, since it is smaller than the sum of its proper divisors (1240928).

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

1057312 is a wasteful number, since it uses less digits than its factorization.

1057312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 1057312 is about 1028.2567772692. The cubic root of 1057312 is about 101.8750231473.

It can be divided in two parts, 10573 and 12, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 1057312 in words is "one million, fifty-seven thousand, three hundred twelve".