706167 has 24 divisors (see below), whose sum is σ = 1272960. Its totient is φ = 366480.

The previous prime is 706159. The next prime is 706183. The reversal of 706167 is 761607.

It is not a de Polignac number, because 706167 - 2³ = 706159 is a prime.

706167 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 706167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184 + ... + 1202.

It is an arithmetic number, because the mean of its divisors is an integer number (53040).

2⁷⁰⁶¹⁶⁷ is an apocalyptic number.

706167 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

706167 is a deficient number, since it is larger than the sum of its proper divisors (566793).

706167 is a wasteful number, since it uses less digits than its factorization.

706167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 706167 is about 840.3374322259. The cubic root of 706167 is about 89.0503859793.

The spelling of 706167 in words is "seven hundred six thousand, one hundred sixty-seven".