1020312 has 48 divisors (see below), whose sum is σ = 2845440. Its totient is φ = 330048.

The previous prime is 1020301. The next prime is 1020329. The reversal of 1020312 is 2130201.

It is a happy number.

1020312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020294 and 1020303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2473 + ... + 2855.

It is an arithmetic number, because the mean of its divisors is an integer number (59280).

2^1020312 is an apocalyptic number.

1020312 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 1020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422720).

1020312 is an abundant number, since it is smaller than the sum of its proper divisors (1825128).

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

1020312 is a wasteful number, since it uses less digits than its factorization.

1020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1020312 is about 1010.1049450428. The cubic root of 1020312 is about 100.6725335138.

Adding to 1020312 its reverse (2130201), we get a palindrome (3150513).

The spelling of 1020312 in words is "one million, twenty thousand, three hundred twelve".