712705 has 12 divisors (see below), whose sum is σ = 995220. Its totient is φ = 488544.

The previous prime is 712697. The next prime is 712711. The reversal of 712705 is 507217.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 261121 = 672^2 + 511^2 .

It is not a de Polignac number, because 712705 - 2³ = 712697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1210 + ... + 1699.

It is an arithmetic number, because the mean of its divisors is an integer number (82935).

It is a Proth number, since it is equal to 87 ⋅ 2¹³ + 1 and 87 < 2¹³.

2⁷¹²⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

712705 is a deficient number, since it is larger than the sum of its proper divisors (282515).

712705 is a wasteful number, since it uses less digits than its factorization.

712705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 712705 is about 844.2185735934. The cubic root of 712705 is about 89.3243645237.

The spelling of 712705 in words is "seven hundred twelve thousand, seven hundred five".