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64345 = 517757
BaseRepresentation
bin1111101101011001
310021021011
433231121
54024340
61213521
7355411
oct175531
9107234
1064345
1144386
12312a1
1323398
1419641
15140ea
hexfb59

64345 has 8 divisors (see below), whose sum is σ = 81864. Its totient is φ = 48384.

The previous prime is 64333. The next prime is 64373. The reversal of 64345 is 54346.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 47961 = 128^2 + 219^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(64345) divides (64345-1)3.

It is a cyclic number.

It is not a de Polignac number, because 64345 - 27 = 64217 is a prime.

It is a Duffinian number.

64345 is a lucky number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 294 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (10233).

264345 is an apocalyptic number.

It is an amenable number.

64345 is a deficient number, since it is larger than the sum of its proper divisors (17519).

64345 is a wasteful number, since it uses less digits than its factorization.

64345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its digits is 1440, while the sum is 22.

The square root of 64345 is about 253.6631624813. The cubic root of 64345 is about 40.0717462350.

Subtracting from 64345 its reverse (54346), we obtain a palindrome (9999).

The spelling of 64345 in words is "sixty-four thousand, three hundred forty-five".

Divisors: 1 5 17 85 757 3785 12869 64345