64827 has 20 divisors (see below), whose sum is σ = 112040. Its totient is φ = 37044.

The previous prime is 64817. The next prime is 64849. The reversal of 64827 is 72846.

Multipling 64827 by its sum of digits (27), we get a square (1750329 = 1323^{2}).

64827 divided by its sum of digits (27) gives a 4-th power (2401 = 7^{4}).

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 is not a de Polignac number, because 64827 - 2^{4} = 64811 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 13.

It is a self number, because there is not a number *n* which added to its sum of digits gives 64827.

It is not an unprimeable number, because it can be changed into a prime (64817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9258 + ... + 9264.

It is an arithmetic number, because the mean of its divisors is an integer number (5602).

2^{64827} is an apocalyptic number.

64827 is a deficient number, since it is larger than the sum of its proper divisors (47213).

64827 is an frugal number, since it uses more digits than its factorization.

64827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 10 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 64827 is about 254.6114687126. The cubic root of 64827 is about 40.1715548382.

The spelling of 64827 in words is "sixty-four thousand, eight hundred twenty-seven".

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