713907 has 16 divisors (see below), whose sum is σ = 1070880. Its totient is φ = 470016.

The previous prime is 713903. The next prime is 713917. The reversal of 713907 is 709317.

It is not a de Polignac number, because 713907 - 2² = 713903 is a prime.

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

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

713907 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 713907.

It is not an unprimeable number, because it can be changed into a prime (713903) 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 15 ways as a sum of consecutive naturals, for example, 3603 + ... + 3795.

It is an arithmetic number, because the mean of its divisors is an integer number (66930).

2⁷¹³⁹⁰⁷ is an apocalyptic number.

713907 is a deficient number, since it is larger than the sum of its proper divisors (356973).

713907 is a wasteful number, since it uses less digits than its factorization.

713907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 713907 is about 844.9301746298. The cubic root of 713907 is about 89.3745524616.

The spelling of 713907 in words is "seven hundred thirteen thousand, nine hundred seven".