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BaseRepresentation
bin1111110000111111
310021120200
433300333
54031300
61214543
7356160
oct176077
9107520
1064575
1144575
1231453
1323514
1419767
1514200
hexfc3f

64575 has 36 divisors (see below), whose sum is σ = 135408. Its totient is φ = 28800.

The previous prime is 64567. The next prime is 64577. The reversal of 64575 is 57546.

64575 is nontrivially palindromic in base 2 and base 4.

It is not a de Polignac number, because 64575 - 23 = 64567 is a prime.

Its product of digits (4200) is a multiple of the sum of its prime divisors (56).

64575 is a lucky number.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64577) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1555 + ... + 1595.

264575 is an apocalyptic number.

64575 is an abundant number, since it is smaller than the sum of its proper divisors (70833).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704).

64575 is a wasteful number, since it uses less digits than its factorization.

64575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 56 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 64575 is about 254.1161151915. The cubic root of 64575 is about 40.1194346956.

The spelling of 64575 in words is "sixty-four thousand, five hundred seventy-five".