1521312 has 96 divisors (see below), whose sum is σ = 4572288. Its totient is φ = 439296.

The previous prime is 1521301. The next prime is 1521323. The reversal of 1521312 is 2131251.

It is an interprime number because it is at equal distance from previous prime (1521301) and next prime (1521323).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1521291 and 1521300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28678 + ... + 28730.

It is an arithmetic number, because the mean of its divisors is an integer number (47628).

2^1521312 is an apocalyptic number.

1521312 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 1521312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286144).

1521312 is an abundant number, since it is smaller than the sum of its proper divisors (3050976).

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

1521312 is a wasteful number, since it uses less digits than its factorization.

1521312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 1521312 is about 1233.4147720860. The cubic root of 1521312 is about 115.0110134380.

Adding to 1521312 its reverse (2131251), we get a palindrome (3652563).

It can be divided in two parts, 15213 and 12, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 1521312 in words is "one million, five hundred twenty-one thousand, three hundred twelve".