4725 has 24 divisors (see below), whose sum is σ = 9920. Its totient is φ = 2160.

The previous prime is 4723. The next prime is 4729. The reversal of 4725 is 5274.

Adding to 4725 its product of digits (280), we get a palindrome (5005).

Adding to 4725 its reverse (5274), we get a palindrome (9999).

It can be divided in two parts, 4 and 725, that added together give a 6-th power (729 = 3^{6}).

It is a happy number.

It is not a de Polignac number, because 4725 - 2^{1} = 4723 is a prime.

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

4725 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4698 and 4707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672 + ... + 678.

2^{4725} is an apocalyptic number.

4725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4725 is an abundant number, since it is smaller than the sum of its proper divisors (5195).

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 (4960).

4725 is a wasteful number, since it uses less digits than its factorization.

4725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26 (or 15 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 4725 is about 68.7386354243. The cubic root of 4725 is about 16.7803341312.

The spelling of 4725 in words is "four thousand, seven hundred twenty-five".

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