1056312 has 48 divisors (see below), whose sum is σ = 3032640. Its totient is φ = 331008.

The previous prime is 1056311. The next prime is 1056317. The reversal of 1056312 is 2136501.

It is a super-2 number, since 2×1056312² = 2231590082688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056311) 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, 793 + ... + 1655.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

2^1056312 is an apocalyptic number.

1056312 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 1056312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516320).

1056312 is an abundant number, since it is smaller than the sum of its proper divisors (1976328).

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

1056312 is a wasteful number, since it uses less digits than its factorization.

1056312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1056312 is about 1027.7704023759. The cubic root of 1056312 is about 101.8428954002.

It can be divided in two parts, 10563 and 12, that multiplied together give a triangular number (126756 = T₅₀₃).

The spelling of 1056312 in words is "one million, fifty-six thousand, three hundred twelve".