825413 has 2 divisors, whose sum is σ = 825414. Its totient is φ = 825412.

The previous prime is 825403. The next prime is 825421. The reversal of 825413 is 314528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 743044 + 82369 = 862^2 + 287^2 .

It is a cyclic number.

It is not a de Polignac number, because 825413 - 2⁴ = 825397 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412706 + 412707.

It is an arithmetic number, because the mean of its divisors is an integer number (412707).

2⁸²⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

825413 is a deficient number, since it is larger than the sum of its proper divisors (1).

825413 is an equidigital number, since it uses as much as digits as its factorization.

825413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 960, while the sum is 23.

The square root of 825413 is about 908.5224268008. The cubic root of 825413 is about 93.8045205835.

It can be divided in two parts, 825 and 413, that multiplied together give a triangular number (340725 = T₈₂₅).

The spelling of 825413 in words is "eight hundred twenty-five thousand, four hundred thirteen".