1353312 has 72 divisors (see below), whose sum is σ = 3983616. Its totient is φ = 435456.

The previous prime is 1353311. The next prime is 1353329. The reversal of 1353312 is 2133531.

1353312 is a `hidden beast` number, since 1 + 353 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353311) 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, 10593 + ... + 10719.

It is an arithmetic number, because the mean of its divisors is an integer number (55328).

2^1353312 is an apocalyptic number.

1353312 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 1353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991808).

1353312 is an abundant number, since it is smaller than the sum of its proper divisors (2630304).

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

1353312 is a wasteful number, since it uses less digits than its factorization.

1353312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 1353312 is about 1163.3193886461. The cubic root of 1353312 is about 110.6112527205.

Adding to 1353312 its reverse (2133531), we get a palindrome (3486843).

The spelling of 1353312 in words is "one million, three hundred fifty-three thousand, three hundred twelve".