107653 has 12 divisors (see below), whose sum is σ = 135660. Its totient is φ = 85176.

The previous prime is 107647. The next prime is 107671. The reversal of 107653 is 356701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3969 + 103684 = 63^2 + 322^2 .

It is not a de Polignac number, because 107653 - 2^{5} = 107621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107603) 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 11 ways as a sum of consecutive naturals, for example, 8275 + ... + 8287.

It is an arithmetic number, because the mean of its divisors is an integer number (11305).

107653 is a Friedman number, since it can be written as (7+6)^3*(50-1), using all its digits and the basic arithmetic operations.

2^{107653} is an apocalyptic number.

107653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107653 is a deficient number, since it is larger than the sum of its proper divisors (28007).

107653 is an frugal number, since it uses more digits than its factorization.

107653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 107653 is about 328.1051660672. The cubic root of 107653 is about 47.5709742303.

The spelling of 107653 in words is "one hundred seven thousand, six hundred fifty-three".

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