18742761 has 12 divisors (see below), whose sum is σ = 27584388. Its totient is φ = 12259104.

The previous prime is 18742741. The next prime is 18742819. The reversal of 18742761 is 16724781.

It can be written as a sum of positive squares in 2 ways, for example, as 16040025 + 2702736 = 4005^2 + 1644^2 .

It is not a de Polignac number, because 18742761 - 2⁹ = 18742249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18742741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19170 + ... + 20123.

It is an arithmetic number, because the mean of its divisors is an integer number (2298699).

Almost surely, 2^18742761 is an apocalyptic number.

It is an amenable number.

18742761 is a deficient number, since it is larger than the sum of its proper divisors (8841627).

18742761 is a wasteful number, since it uses less digits than its factorization.

18742761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39352 (or 39349 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 18742761 is about 4329.2910505070. The cubic root of 18742761 is about 265.6304486264.

It can be divided in two parts, 18742 and 761, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 18742761 in words is "eighteen million, seven hundred forty-two thousand, seven hundred sixty-one".