712531 has 2 divisors, whose sum is σ = 712532. Its totient is φ = 712530.

The previous prime is 712511. The next prime is 712561. The reversal of 712531 is 135217.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 712531 - 2⁵ = 712499 is a prime.

It is a super-2 number, since 2×712531² = 1015400851922, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 712499 and 712508.

It is not a weakly prime, because it can be changed into another prime (712511) 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 as a sum of consecutive naturals, namely, 356265 + 356266.

It is an arithmetic number, because the mean of its divisors is an integer number (356266).

2⁷¹²⁵³¹ is an apocalyptic number.

712531 is the 378-th centered decagonal number.

712531 is a deficient number, since it is larger than the sum of its proper divisors (1).

712531 is an equidigital number, since it uses as much as digits as its factorization.

712531 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 210, while the sum is 19.

The square root of 712531 is about 844.1155134222. The cubic root of 712531 is about 89.3170947069.

Adding to 712531 its reverse (135217), we get a palindrome (847748).

The spelling of 712531 in words is "seven hundred twelve thousand, five hundred thirty-one".