706767 has 8 divisors (see below), whose sum is σ = 983424. Its totient is φ = 450648.

The previous prime is 706763. The next prime is 706787. The reversal of 706767 is 767607.

It is a happy number.

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

It is not a de Polignac number, because 706767 - 2² = 706763 is a prime.

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 706767.

It is not an unprimeable number, because it can be changed into a prime (706763) 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 7 ways as a sum of consecutive naturals, for example, 5053 + ... + 5190.

It is an arithmetic number, because the mean of its divisors is an integer number (122928).

2⁷⁰⁶⁷⁶⁷ is an apocalyptic number.

706767 is a deficient number, since it is larger than the sum of its proper divisors (276657).

706767 is a wasteful number, since it uses less digits than its factorization.

706767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10269.

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 706767 is about 840.6943558750. The cubic root of 706767 is about 89.0755996121.

The spelling of 706767 in words is "seven hundred six thousand, seven hundred sixty-seven".