1057032 has 48 divisors (see below), whose sum is σ = 2927340. Its totient is φ = 344448.

The previous prime is 1057019. The next prime is 1057033. The reversal of 1057032 is 2307501.

It can be written as a sum of positive squares in 2 ways, for example, as 1052676 + 4356 = 1026^2 + 66^2 .

It is a super-2 number, since 2×1057032² = 2234633298048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1056996 and 1057014.

It is not an unprimeable number, because it can be changed into a prime (1057033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3678 + ... + 3954.

2^1057032 is an apocalyptic number.

1057032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463670).

1057032 is an abundant number, since it is smaller than the sum of its proper divisors (1870308).

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

1057032 is a wasteful number, since it uses less digits than its factorization.

1057032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1057032 is about 1028.1206154922. The cubic root of 1057032 is about 101.8660294208.

The spelling of 1057032 in words is "one million, fifty-seven thousand, thirty-two".