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913 = 1183

• 9132 = 833569 is an anagram of the next square 9142 = 835396.

913 has 4 divisors (see below), whose sum is σ = 1008. Its totient is φ = 820.

The previous prime is 911. The next prime is 919. The reversal of 913 is 319.

913 = T7 + T8 + ... + T17.

It is a happy number.

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

913 is an esthetic number in base 4 and base 5, because in such bases its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 319 = 1129.

It is a cyclic number.

It is not a de Polignac number, because 913 - 21 = 911 is a prime.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a nialpdrome in base 11, base 12 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 893 and 902.

It is not an unprimeable number, because it can be changed into a prime (911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 52.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

It is an amenable number.

913 is a deficient number, since it is larger than the sum of its proper divisors (95).

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

It is an anagram of its base 16 representation: 913 = (391)16.

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

The sum of its prime factors is 94.

The product of its digits is 27, while the sum is 13.

The square root of 913 is about 30.2158898595. The cubic root of 913 is about 9.7011583270.

Subtracting from 913 its sum of digits (13), we obtain a square (900 = 302).

It can be divided in two parts, 9 and 13, that added together give a palindrome (22).

The spelling of 913 in words is "nine hundred thirteen", and thus it is an aban number and an oban number.

Divisors: 1 11 83 913