712251 has 6 divisors (see below), whose sum is σ = 1028820. Its totient is φ = 474828.

The previous prime is 712237. The next prime is 712279. The reversal of 712251 is 152217.

712251 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 712251 - 2⁵ = 712219 is a prime.

712251 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712251.

It is not an unprimeable number, because it can be changed into a prime (712051) 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, 39561 + ... + 39578.

It is an arithmetic number, because the mean of its divisors is an integer number (171470).

2⁷¹²²⁵¹ is an apocalyptic number.

712251 is a deficient number, since it is larger than the sum of its proper divisors (316569).

712251 is a wasteful number, since it uses less digits than its factorization.

712251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79145 (or 79142 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 712251 is about 843.9496430475. The cubic root of 712251 is about 89.3053936660.

Adding to 712251 its reverse (152217), we get a palindrome (864468).

The spelling of 712251 in words is "seven hundred twelve thousand, two hundred fifty-one".