705637 has 4 divisors (see below), whose sum is σ = 707616. Its totient is φ = 703660.

The previous prime is 705631. The next prime is 705643. The reversal of 705637 is 736507.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 736507 = 149 ⋅4943.

It is an interprime number because it is at equal distance from previous prime (705631) and next prime (705643).

It is a cyclic number.

It is not a de Polignac number, because 705637 - 2¹⁵ = 672869 is a prime.

It is a Duffinian number.

705637 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 289 + ... + 1222.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

2⁷⁰⁵⁶³⁷ is an apocalyptic number.

It is an amenable number.

705637 is a deficient number, since it is larger than the sum of its proper divisors (1979).

705637 is a wasteful number, since it uses less digits than its factorization.

705637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978.

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 705637 is about 840.0220235208. The cubic root of 705637 is about 89.0281020545.

The spelling of 705637 in words is "seven hundred five thousand, six hundred thirty-seven".