872761 has 2 divisors, whose sum is σ = 872762. Its totient is φ = 872760.

The previous prime is 872749. The next prime is 872789. The reversal of 872761 is 167278.

It is a happy number.

872761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 553536 + 319225 = 744^2 + 565^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-872761 is a prime.

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 (872731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436380 + 436381.

It is an arithmetic number, because the mean of its divisors is an integer number (436381).

2⁸⁷²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

872761 is a deficient number, since it is larger than the sum of its proper divisors (1).

872761 is an equidigital number, since it uses as much as digits as its factorization.

872761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4704, while the sum is 31.

The square root of 872761 is about 934.2167842637. The cubic root of 872761 is about 95.5649074937.

The spelling of 872761 in words is "eight hundred seventy-two thousand, seven hundred sixty-one".