5909761 has 27 divisors (see below), whose sum is σ = 7472073. Its totient is φ = 4667520.

The previous prime is 5909759. The next prime is 5909767. The reversal of 5909761 is 1679095.

The square root of 5909761 is 2431.

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

It can be written as a sum of positive squares in 4 ways, for example, as 53361 + 5856400 = 231^2 + 2420^2 .

It is not a de Polignac number, because 5909761 - 2¹ = 5909759 is a prime.

It is a d-powerful number, because it can be written as 5⁷ + 9 + 0 + 9⁵ + 7⁸ + 6⁵ + 1 .

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 5909761.

It is not an unprimeable number, because it can be changed into a prime (5909767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 347625 + ... + 347641.

Almost surely, 2^5909761 is an apocalyptic number.

5909761 is the 2431-st square number.

5909761 is the 1216-th centered octagonal number.

It is an amenable number.

5909761 is a deficient number, since it is larger than the sum of its proper divisors (1562312).

5909761 is a wasteful number, since it uses less digits than its factorization.

5909761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The cubic root of 5909761 is about 180.7964807477.

It can be divided in two parts, 5909 and 761, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 5909761 in words is "five million, nine hundred nine thousand, seven hundred sixty-one".