713827 has 2 divisors, whose sum is σ = 713828. Its totient is φ = 713826.

The previous prime is 713807. The next prime is 713831. The reversal of 713827 is 728317.

It is a happy number.

713827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (728317) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-713827 is a prime.

713827 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 713795 and 713804.

It is not a weakly prime, because it can be changed into another prime (713807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356913 + 356914.

It is an arithmetic number, because the mean of its divisors is an integer number (356914).

2⁷¹³⁸²⁷ is an apocalyptic number.

713827 is a deficient number, since it is larger than the sum of its proper divisors (1).

713827 is an equidigital number, since it uses as much as digits as its factorization.

713827 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2352, while the sum is 28.

The square root of 713827 is about 844.8828321134. The cubic root of 713827 is about 89.3712139169.

It can be divided in two parts, 713 and 827, that added together give a triangular number (1540 = T₅₅).

The spelling of 713827 in words is "seven hundred thirteen thousand, eight hundred twenty-seven".