712117 has 6 divisors (see below), whose sum is σ = 828438. Its totient is φ = 610344.

The previous prime is 712109. The next prime is 712121. The reversal of 712117 is 711217.

It can be written as a sum of positive squares in only one way, i.e., 625681 + 86436 = 791^2 + 294^2 .

It is not a de Polignac number, because 712117 - 2³ = 712109 is a prime.

It is a super-2 number, since 2×712117² = 1014221243378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 712094 and 712103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7218 + ... + 7315.

It is an arithmetic number, because the mean of its divisors is an integer number (138073).

2⁷¹²¹¹⁷ is an apocalyptic number.

It is an amenable number.

712117 is a deficient number, since it is larger than the sum of its proper divisors (116321).

712117 is a wasteful number, since it uses less digits than its factorization.

712117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14547 (or 14540 counting only the distinct ones).

The product of its digits is 98, while the sum is 19.

The square root of 712117 is about 843.8702506902. The cubic root of 712117 is about 89.2997927971.

Subtracting from 712117 its reverse (711217), we obtain a square (900 = 30²).

The spelling of 712117 in words is "seven hundred twelve thousand, one hundred seventeen", and thus it is an iban number.