1053312 has 64 divisors (see below), whose sum is σ = 3027360. Its totient is φ = 322560.

The previous prime is 1053301. The next prime is 1053319. The reversal of 1053312 is 2133501.

It is a happy number.

1053312 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1053312² = 2218932338688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053291 and 1053300.

It is not an unprimeable number, because it can be changed into a prime (1053319) 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, 4887 + ... + 5097.

2^1053312 is an apocalyptic number.

1053312 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 1053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513680).

1053312 is an abundant number, since it is smaller than the sum of its proper divisors (1974048).

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

1053312 is a wasteful number, since it uses less digits than its factorization.

1053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1053312 is about 1026.3098947199. The cubic root of 1053312 is about 101.7463903321.

Adding to 1053312 its reverse (2133501), we get a palindrome (3186813).

The spelling of 1053312 in words is "one million, fifty-three thousand, three hundred twelve".