10575 has 18 divisors (see below), whose sum is σ = 19344. Its totient is φ = 5520.

The previous prime is 10567. The next prime is 10589. The reversal of 10575 is 57501.

It can be divided in two parts, 105 and 75, that multiplied together give a triangular number (7875 = T_{125}).

It is a happy number.

10575 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10575 - 2^{3} = 10567 is a prime.

It is a super-2 number, since 2×10575^{2} = 223661250, which contains 22 as substring.

10575 is strictly pandigital in base 6.

10575 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 202 + ... + 248.

10575 is a Friedman number, since it can be written as 705*15, using all its digits and the basic arithmetic operations.

2^{10575} is an apocalyptic number.

10575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10575 is a deficient number, since it is larger than the sum of its proper divisors (8769).

10575 is a wasteful number, since it uses less digits than its factorization.

10575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 10575 is about 102.8348190060. The cubic root of 10575 is about 21.9496091863.

The spelling of 10575 in words is "ten thousand, five hundred seventy-five".

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