213825 has 12 divisors (see below), whose sum is σ = 353648. Its totient is φ = 114000.

The previous prime is 213821. The next prime is 213827. The reversal of 213825 is 528312.

It is not a de Polignac number, because 213825 - 2² = 213821 is a prime.

It is a super-2 number, since 2×213825² = 91442261250, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (213821) 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 11 ways as a sum of consecutive naturals, for example, 1351 + ... + 1500.

2²¹³⁸²⁵ is an apocalyptic number.

213825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213825 is a deficient number, since it is larger than the sum of its proper divisors (139823).

213825 is a wasteful number, since it uses less digits than its factorization.

213825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2859 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 213825 is about 462.4121538195. The cubic root of 213825 is about 59.7979313461.

The spelling of 213825 in words is "two hundred thirteen thousand, eight hundred twenty-five".