• 715 can be written using four 4's:

715 has 8 divisors (see below), whose sum is σ = 1008. Its totient is φ = 480.

The previous prime is 709. The next prime is 719. The reversal of 715 is 517.

715 is a nontrivial binomial coefficient, being equal to C(13, 4).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 715 - 2^{5} = 683 is a prime.

It is a super-2 number, since 2×715^{2} = 1022450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Sastry number since concatenated with its successor gives a square.

It is a Duffinian number.

715 is an undulating number in base 8.

It is a nialpdrome in base 3, base 9 and base 13.

It is a zygodrome in base 3.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 695 and 704.

It is not an unprimeable number, because it can be changed into a prime (719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 61.

It is an arithmetic number, because the mean of its divisors is an integer number (126).

715 is the 22-nd pentagonal number.

715 is a deficient number, since it is larger than the sum of its proper divisors (293).

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

With its predecessor (714) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (29).

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

The sum of its prime factors is 29.

The product of its digits is 35, while the sum is 13.

The square root of 715 is about 26.7394839142. The cubic root of 715 is about 8.9420140367.

715 divided by its sum of digits (13) gives a palindrome (55).

It can be divided in two parts, 7 and 15, that multiplied together give a triangular number (105 = T_{14}).

The spelling of 715 in words is "seven hundred fifteen", and thus it is an aban number and an oban number.

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