1313172 has 72 divisors (see below), whose sum is σ = 3954496. Its totient is φ = 373248.

The previous prime is 1313171. The next prime is 1313219. The reversal of 1313172 is 2713131.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6708 + ... + 6900.

2^1313172 is an apocalyptic number.

1313172 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 1313172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977248).

1313172 is an abundant number, since it is smaller than the sum of its proper divisors (2641324).

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

1313172 is a wasteful number, since it uses less digits than its factorization.

1313172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 1313172 is about 1145.9371710526. The cubic root of 1313172 is about 109.5066612574.

It can be divided in two parts, 13131 and 72, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 1313172 in words is "one million, three hundred thirteen thousand, one hundred seventy-two".