3872761 has 2 divisors, whose sum is σ = 3872762. Its totient is φ = 3872760.

The previous prime is 3872731. The next prime is 3872767. The reversal of 3872761 is 1672783.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2295225 + 1577536 = 1515^2 + 1256^2 .

It is a cyclic number.

It is not a de Polignac number, because 3872761 - 2⁹ = 3872249 is a prime.

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

It is not a weakly prime, because it can be changed into another prime (3872767) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1936380 + 1936381.

It is an arithmetic number, because the mean of its divisors is an integer number (1936381).

Almost surely, 2^3872761 is an apocalyptic number.

It is an amenable number.

3872761 is a deficient number, since it is larger than the sum of its proper divisors (1).

3872761 is an equidigital number, since it uses as much as digits as its factorization.

3872761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14112, while the sum is 34.

The square root of 3872761 is about 1967.9331797599. The cubic root of 3872761 is about 157.0387749577.

The spelling of 3872761 in words is "three million, eight hundred seventy-two thousand, seven hundred sixty-one".