913761 has 20 divisors (see below), whose sum is σ = 1415700. Its totient is φ = 586656.

The previous prime is 913753. The next prime is 913771. The reversal of 913761 is 167319.

It can be written as a sum of positive squares in 2 ways, for example, as 342225 + 571536 = 585^2 + 756^2 .

It is not a de Polignac number, because 913761 - 2³ = 913753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

913761 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 913761.

It is not an unprimeable number, because it can be changed into a prime (913771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2155 + ... + 2543.

It is an arithmetic number, because the mean of its divisors is an integer number (70785).

2⁹¹³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

913761 is a deficient number, since it is larger than the sum of its proper divisors (501939).

913761 is a wasteful number, since it uses less digits than its factorization.

913761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 913761 is about 955.9084684215. The cubic root of 913761 is about 97.0385293496.

The spelling of 913761 in words is "nine hundred thirteen thousand, seven hundred sixty-one".