1003685761 has 9 divisors (see below), whose sum is σ = 1087277481. Its totient is φ = 926098992.

The previous prime is 1003685743. The next prime is 1003685803. The reversal of 1003685761 is 1675863001.

The square root of 1003685761 is 31681.

It is a perfect power (a square), and thus also a powerful number.

1003685761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22743361 + 980942400 = 4769^2 + 31320^2 .

It is not a de Polignac number, because 1003685761 - 2⁷ = 1003685633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003685761.

It is not an unprimeable number, because it can be changed into a prime (1003685731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 410635 + ... + 413071.

It is an arithmetic number, because the mean of its divisors is an integer number (120808609).

Almost surely, 2^1003685761 is an apocalyptic number.

1003685761 is the 31681-st square number.

1003685761 is the 15841-st centered octagonal number.

It is an amenable number.

1003685761 is a deficient number, since it is larger than the sum of its proper divisors (83591720).

1003685761 is an frugal number, since it uses more digits than its factorization.

1003685761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The cubic root of 1003685761 is about 1001.2270806572.

The spelling of 1003685761 in words is "one billion, three million, six hundred eighty-five thousand, seven hundred sixty-one".