812761 has 2 divisors, whose sum is σ = 812762. Its totient is φ = 812760.

The previous prime is 812759. The next prime is 812807. The reversal of 812761 is 167218.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 755161 + 57600 = 869^2 + 240^2 .

It is a cyclic number.

It is not a de Polignac number, because 812761 - 2¹ = 812759 is a prime.

Together with 812759, it forms a pair of twin primes.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (812701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406380 + 406381.

It is an arithmetic number, because the mean of its divisors is an integer number (406381).

2⁸¹²⁷⁶¹ is an apocalyptic number.

812761 is the 521-st hex number.

It is an amenable number.

812761 is a deficient number, since it is larger than the sum of its proper divisors (1).

812761 is an equidigital number, since it uses as much as digits as its factorization.

812761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 25.

The square root of 812761 is about 901.5325839924. The cubic root of 812761 is about 93.3227694960.

Adding to 812761 its reverse (167218), we get a palindrome (979979).

It can be divided in two parts, 8 and 12761, that added together give a square (12769 = 113²).

The spelling of 812761 in words is "eight hundred twelve thousand, seven hundred sixty-one".