705967 has 2 divisors, whose sum is σ = 705968. Its totient is φ = 705966.

The previous prime is 705949. The next prime is 705973. The reversal of 705967 is 769507.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 705967 - 2¹⁵ = 673199 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (705937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352983 + 352984.

It is an arithmetic number, because the mean of its divisors is an integer number (352984).

2⁷⁰⁵⁹⁶⁷ is an apocalyptic number.

705967 is a deficient number, since it is larger than the sum of its proper divisors (1).

705967 is an equidigital number, since it uses as much as digits as its factorization.

705967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 705967 is about 840.2184239827. The cubic root of 705967 is about 89.0419782614.

The spelling of 705967 in words is "seven hundred five thousand, nine hundred sixty-seven".