249825 has 12 divisors (see below), whose sum is σ = 413168. Its totient is φ = 133200.

The previous prime is 249811. The next prime is 249827. The reversal of 249825 is 528942.

It is not a de Polignac number, because 249825 - 2¹⁵ = 217057 is a prime.

It is a Duffinian number.

249825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 249792 and 249801.

It is not an unprimeable number, because it can be changed into a prime (249827) 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, 1591 + ... + 1740.

2²⁴⁹⁸²⁵ is an apocalyptic number.

249825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

249825 is a deficient number, since it is larger than the sum of its proper divisors (163343).

249825 is a wasteful number, since it uses less digits than its factorization.

249825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3339 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 249825 is about 499.8249693643. The cubic root of 249825 is about 62.9813499847.

The spelling of 249825 in words is "two hundred forty-nine thousand, eight hundred twenty-five".