713007 has 12 divisors (see below), whose sum is σ = 1037400. Its totient is φ = 471888.

The previous prime is 712981. The next prime is 713021. The reversal of 713007 is 700317.

It is not a de Polignac number, because 713007 - 2¹⁰ = 711983 is a prime.

It is a super-3 number, since 3×713007³ = 1087433318561434029, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713077) 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, 1869 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (86450).

2⁷¹³⁰⁰⁷ is an apocalyptic number.

713007 is a deficient number, since it is larger than the sum of its proper divisors (324393).

713007 is a wasteful number, since it uses less digits than its factorization.

713007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 713007 is about 844.3974182812. The cubic root of 713007 is about 89.3369794433.

The spelling of 713007 in words is "seven hundred thirteen thousand, seven".