712253 has 6 divisors (see below), whose sum is σ = 752094. Its totient is φ = 674424.

The previous prime is 712237. The next prime is 712279. The reversal of 712253 is 352217.

It can be written as a sum of positive squares in only one way, i.e., 521284 + 190969 = 722^2 + 437^2 .

It is not a de Polignac number, because 712253 - 2⁴ = 712237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742253) 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, 626 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (125349).

2⁷¹²²⁵³ is an apocalyptic number.

It is an amenable number.

712253 is a deficient number, since it is larger than the sum of its proper divisors (39841).

712253 is a wasteful number, since it uses less digits than its factorization.

712253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1992 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 712253 is about 843.9508279515. The cubic root of 712253 is about 89.3054772557.

The spelling of 712253 in words is "seven hundred twelve thousand, two hundred fifty-three".