1313416 has 32 divisors (see below), whose sum is σ = 2703960. Its totient is φ = 594432.

The previous prime is 1313383. The next prime is 1313423. The reversal of 1313416 is 6143131.

1313416 = T₄₄₃ + T₄₄₄ + ... + T₄₅₅.

It can be written as a sum of positive squares in 4 ways, for example, as 1188100 + 125316 = 1090^2 + 354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1313393 and 1313402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7506 + ... + 7678.

2^1313416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351980).

1313416 is an abundant number, since it is smaller than the sum of its proper divisors (1390544).

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

1313416 is a wasteful number, since it uses less digits than its factorization.

1313416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 1313416 is about 1146.0436291870. The cubic root of 1313416 is about 109.5134433013.

Adding to 1313416 its reverse (6143131), we get a palindrome (7456547).

The spelling of 1313416 in words is "one million, three hundred thirteen thousand, four hundred sixteen".