210125 has 12 divisors (see below), whose sum is σ = 268788. Its totient is φ = 164000.

The previous prime is 210113. The next prime is 210127. The reversal of 210125 is 521012.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 178084 + 32041 = 422^2 + 179^2 .

It is not a de Polignac number, because 210125 - 2^{4} = 210109 is a prime.

It is an Ulam number.

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

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 210125.

It is not an unprimeable number, because it can be changed into a prime (210127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5105 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (22399).

210125 is a Friedman number, since it can be written as (2^10+1)^2/5, using all its digits and the basic arithmetic operations.

2^{210125} is an apocalyptic number.

210125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

210125 is a deficient number, since it is larger than the sum of its proper divisors (58663).

210125 is an frugal number, since it uses more digits than its factorization.

210125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 210125 is about 458.3939353875. The cubic root of 210125 is about 59.4510106844.

Multiplying 210125 by its product of nonzero digits (20), we get a square (4202500 = 2050^{2}).

Adding to 210125 its reverse (521012), we get a palindrome (731137).

It can be divided in two parts, 2101 and 25, that multiplied together give a palindrome (52525).

The spelling of 210125 in words is "two hundred ten thousand, one hundred twenty-five".

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