2736581 has 2 divisors, whose sum is σ = 2736582. Its totient is φ = 2736580.

The previous prime is 2736571. The next prime is 2736583. The reversal of 2736581 is 1856372.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1600225 + 1136356 = 1265^2 + 1066^2 .

It is a cyclic number.

It is not a de Polignac number, because 2736581 - 2¹⁴ = 2720197 is a prime.

It is a super-2 number, since 2×2736581² = 14977751139122, which contains 22 as substring.

Together with 2736583, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2736583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1368290 + 1368291.

It is an arithmetic number, because the mean of its divisors is an integer number (1368291).

2^2736581 is an apocalyptic number.

It is an amenable number.

2736581 is a deficient number, since it is larger than the sum of its proper divisors (1).

2736581 is an equidigital number, since it uses as much as digits as its factorization.

2736581 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 32.

The square root of 2736581 is about 1654.2614666370. The cubic root of 2736581 is about 139.8737126470.

It can be divided in two parts, 27365 and 81, that multiplied together give a triangular number (2216565 = T₂₁₀₅).

The spelling of 2736581 in words is "two million, seven hundred thirty-six thousand, five hundred eighty-one".