210825 has 18 divisors (see below), whose sum is σ = 378014. Its totient is φ = 112320.

The previous prime is 210823. The next prime is 210827. The reversal of 210825 is 528012.

It is an interprime number because it is at equal distance from previous prime (210823) and next prime (210827).

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 210681 = 12^2 + 459^2 .

It is not a de Polignac number, because 210825 - 2¹ = 210823 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 210798 and 210807.

It is not an unprimeable number, because it can be changed into a prime (210823) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 244 + ... + 693.

2²¹⁰⁸²⁵ is an apocalyptic number.

210825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

210825 is a deficient number, since it is larger than the sum of its proper divisors (167189).

210825 is a wasteful number, since it uses less digits than its factorization.

210825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 210825 is about 459.1568359504. The cubic root of 210825 is about 59.5169548932.

Adding to 210825 its reverse (528012), we get a palindrome (738837).

It can be divided in two parts, 210 and 825, that added together give a triangular number (1035 = T₄₅).

The spelling of 210825 in words is "two hundred ten thousand, eight hundred twenty-five".