706815 has 24 divisors (see below), whose sum is σ = 1244880. Its totient is φ = 370944.

The previous prime is 706801. The next prime is 706829. The reversal of 706815 is 518607.

It is an interprime number because it is at equal distance from previous prime (706801) and next prime (706829).

It is not a de Polignac number, because 706815 - 2⁶ = 706751 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5016 + ... + 5154.

It is an arithmetic number, because the mean of its divisors is an integer number (51870).

2⁷⁰⁶⁸¹⁵ is an apocalyptic number.

706815 is a deficient number, since it is larger than the sum of its proper divisors (538065).

706815 is a wasteful number, since it uses less digits than its factorization.

706815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 706815 is about 840.7229032208. The cubic root of 706815 is about 89.0776160862.

It can be divided in two parts, 706 and 815, that added together give a square (1521 = 39²).

The spelling of 706815 in words is "seven hundred six thousand, eight hundred fifteen".