1038312 has 128 divisors (see below), whose sum is σ = 3456000. Its totient is φ = 285120.

The previous prime is 1038311. The next prime is 1038319. The reversal of 1038312 is 2138301.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1038311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45133 + ... + 45155.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2^1038312 is an apocalyptic number.

1038312 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 1038312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728000).

1038312 is an abundant number, since it is smaller than the sum of its proper divisors (2417688).

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

1038312 is a wasteful number, since it uses less digits than its factorization.

1038312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1038312 is about 1018.9759565368. The cubic root of 1038312 is about 101.2610961776.

The spelling of 1038312 in words is "one million, thirty-eight thousand, three hundred twelve".