213425 has 6 divisors (see below), whose sum is σ = 264678. Its totient is φ = 170720.

The previous prime is 213407. The next prime is 213449. The reversal of 213425 is 524312.

It can be written as a sum of positive squares in 3 ways, for example, as 43681 + 169744 = 209^2 + 412^2 .

It is not a de Polignac number, because 213425 - 2⁶ = 213361 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 1 + 4⁴ + 3¹¹ + 2¹⁵ + 5⁵ .

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213425.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4244 + ... + 4293.

It is an arithmetic number, because the mean of its divisors is an integer number (44113).

2²¹³⁴²⁵ is an apocalyptic number.

213425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213425 is a deficient number, since it is larger than the sum of its proper divisors (51253).

213425 is an equidigital number, since it uses as much as digits as its factorization.

213425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8547 (or 8542 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 213425 is about 461.9794367718. The cubic root of 213425 is about 59.7606203002.

Adding to 213425 its reverse (524312), we get a palindrome (737737).

It can be divided in two parts, 213 and 425, that multiplied together give a triangular number (90525 = T₄₂₅).

The spelling of 213425 in words is "two hundred thirteen thousand, four hundred twenty-five".