1013712 has 60 divisors (see below), whose sum is σ = 3053376. Its totient is φ = 288960.

The previous prime is 1013711. The next prime is 1013713. The reversal of 1013712 is 2173101.

It is an interprime number because it is at equal distance from previous prime (1013711) and next prime (1013713).

It is a super-2 number, since 2×1013712² = 2055224037888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013691 and 1013700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2137 + ... + 2567.

2^1013712 is an apocalyptic number.

1013712 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 1013712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526688).

1013712 is an abundant number, since it is smaller than the sum of its proper divisors (2039664).

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

1013712 is a wasteful number, since it uses less digits than its factorization.

1013712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1013712 is about 1006.8326573965. The cubic root of 1013712 is about 100.4549933376.

Adding to 1013712 its reverse (2173101), we get a palindrome (3186813).

The spelling of 1013712 in words is "one million, thirteen thousand, seven hundred twelve".