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9457 = 72193

9457 has 6 divisors (see below), whose sum is σ = 11058. Its totient is φ = 8064.

The previous prime is 9439. The next prime is 9461. The reversal of 9457 is 7549.

9457 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 only one way, i.e., 7056 + 2401 = 84^2 + 49^2 .

It is a de Polignac number, because none of the positive numbers 2k-9457 is a prime.

It is a Duffinian number.

9457 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (1843).

29457 is an apocalyptic number.

9457 is the 49-th decagonal number.

It is an amenable number.

9457 is a deficient number, since it is larger than the sum of its proper divisors (1601).

9457 is a wasteful number, since it uses less digits than its factorization.

9457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 9457 is about 97.2471079261. The cubic root of 9457 is about 21.1471151291.

It can be divided in two parts, 94 and 57, that added together give a palindrome (151).

The spelling of 9457 in words is "nine thousand, four hundred fifty-seven".

Divisors: 1 7 49 193 1351 9457