825301 has 2 divisors, whose sum is σ = 825302. Its totient is φ = 825300.

The previous prime is 825287. The next prime is 825329. The reversal of 825301 is 103528.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 600625 + 224676 = 775^2 + 474^2 .

It is a cyclic number.

It is not a de Polignac number, because 825301 - 2¹⁹ = 301013 is a prime.

It is a super-2 number, since 2×825301² = 1362243481202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412650 + 412651.

It is an arithmetic number, because the mean of its divisors is an integer number (412651).

2⁸²⁵³⁰¹ is an apocalyptic number.

825301 is the 525-th hex number.

It is an amenable number.

825301 is a deficient number, since it is larger than the sum of its proper divisors (1).

825301 is an equidigital number, since it uses as much as digits as its factorization.

825301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 825301 is about 908.4607861653. The cubic root of 825301 is about 93.8002776242.

Adding to 825301 its reverse (103528), we get a palindrome (928829).

The spelling of 825301 in words is "eight hundred twenty-five thousand, three hundred one".