706407 has 16 divisors (see below), whose sum is σ = 1034880. Its totient is φ = 425952.

The previous prime is 706403. The next prime is 706417. The reversal of 706407 is 704607.

It is not a de Polignac number, because 706407 - 2² = 706403 is a prime.

706407 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 706407.

It is not an unprimeable number, because it can be changed into a prime (706403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2148 + ... + 2454.

It is an arithmetic number, because the mean of its divisors is an integer number (64680).

2⁷⁰⁶⁴⁰⁷ is an apocalyptic number.

706407 is a deficient number, since it is larger than the sum of its proper divisors (328473).

706407 is a wasteful number, since it uses less digits than its factorization.

706407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 706407 is about 840.4802198743. The cubic root of 706407 is about 89.0604731456.

The spelling of 706407 in words is "seven hundred six thousand, four hundred seven".