10725 has 24 divisors (see below), whose sum is σ = 20832. Its totient is φ = 4800.

The previous prime is 10723. The next prime is 10729. The reversal of 10725 is 52701.

It is a happy number.

10725 is nontrivially palindromic in base 2.

10725 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10725 - 2¹ = 10723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between odd and even.

10725 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (868).

2¹⁰⁷²⁵ is an apocalyptic number.

10725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10725 is a deficient number, since it is larger than the sum of its proper divisors (10107).

10725 is a wasteful number, since it uses less digits than its factorization.

10725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 10725 is about 103.5615758860. The cubic root of 10725 is about 22.0529029862.

The spelling of 10725 in words is "ten thousand, seven hundred twenty-five".