712361 has 8 divisors (see below), whose sum is σ = 788424. Its totient is φ = 639360.

The previous prime is 712357. The next prime is 712409. The reversal of 712361 is 163217.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 102400 + 609961 = 320^2 + 781^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 712361 - 2² = 712357 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712361.

It is not an unprimeable number, because it can be changed into a prime (712301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260 + ... + 1221.

It is an arithmetic number, because the mean of its divisors is an integer number (98553).

2⁷¹²³⁶¹ is an apocalyptic number.

It is an amenable number.

712361 is a deficient number, since it is larger than the sum of its proper divisors (76063).

712361 is a wasteful number, since it uses less digits than its factorization.

712361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531.

The product of its digits is 252, while the sum is 20.

The square root of 712361 is about 844.0148102966. The cubic root of 712361 is about 89.3099908691.

Adding to 712361 its reverse (163217), we get a palindrome (875578).

The spelling of 712361 in words is "seven hundred twelve thousand, three hundred sixty-one".