713832 has 48 divisors (see below), whose sum is σ = 2079360. Its totient is φ = 203616.

The previous prime is 713831. The next prime is 713833. The reversal of 713832 is 238317.

It is an interprime number because it is at equal distance from previous prime (713831) and next prime (713833).

It is a super-2 number, since 2×713832² = 1019112248448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 713832.

It is not an unprimeable number, because it can be changed into a prime (713831) 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, 873 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (43320).

2⁷¹³⁸³² 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 713832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039680).

713832 is an abundant number, since it is smaller than the sum of its proper divisors (1365528).

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

713832 is a wasteful number, since it uses less digits than its factorization.

713832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 619 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 713832 is about 844.8857910984. The cubic root of 713832 is about 89.3714225833.

The spelling of 713832 in words is "seven hundred thirteen thousand, eight hundred thirty-two".