713277 has 12 divisors (see below), whose sum is σ = 1055964. Its totient is φ = 463680.

The previous prime is 713267. The next prime is 713281. The reversal of 713277 is 772317.

It can be written as a sum of positive squares in 2 ways, for example, as 224676 + 488601 = 474^2 + 699^2 .

It is not a de Polignac number, because 713277 - 2⁴ = 713261 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

713277 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 713277.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 713277.

It is not an unprimeable number, because it can be changed into a prime (713227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598 + ... + 1335.

It is an arithmetic number, because the mean of its divisors is an integer number (87997).

2⁷¹³²⁷⁷ is an apocalyptic number.

It is an amenable number.

713277 is a deficient number, since it is larger than the sum of its proper divisors (342687).

713277 is a wasteful number, since it uses less digits than its factorization.

713277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1977 counting only the distinct ones).

The product of its digits is 2058, while the sum is 27.

The square root of 713277 is about 844.5572804730. The cubic root of 713277 is about 89.3482546670.

It can be divided in two parts, 713 and 277, that added together give a triangular number (990 = T₄₄).

The spelling of 713277 in words is "seven hundred thirteen thousand, two hundred seventy-seven".