713583 has 32 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 412128.

The previous prime is 713569. The next prime is 713597. The reversal of 713583 is 385317.

It is an interprime number because it is at equal distance from previous prime (713569) and next prime (713597).

It is not a de Polignac number, because 713583 - 2¹⁶ = 648047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

713583 is a lucky number.

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 713583.

It is not an unprimeable number, because it can be changed into a prime (713533) 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 31 ways as a sum of consecutive naturals, for example, 6616 + ... + 6722.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁷¹³⁵⁸³ is an apocalyptic number.

713583 is a deficient number, since it is larger than the sum of its proper divisors (496017).

713583 is a wasteful number, since it uses less digits than its factorization.

713583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 713583 is about 844.7384210512. The cubic root of 713583 is about 89.3610298147.

It can be divided in two parts, 713 and 583, that added together give a 4-th power (1296 = 6⁴).

The spelling of 713583 in words is "seven hundred thirteen thousand, five hundred eighty-three".