825749 has 2 divisors, whose sum is σ = 825750. Its totient is φ = 825748.

The previous prime is 825739. The next prime is 825763. The reversal of 825749 is 947528.

It is a happy number.

825749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 819025 + 6724 = 905^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 825749 - 2⁴ = 825733 is a prime.

It is a super-2 number, since 2×825749² = 1363722822002, which contains 22 as substring.

It is a Chen prime.

It is a d-powerful number, because it can be written as 8 + 2¹¹ + 7⁷ + 5³ + 4² + 9 .

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412874 + 412875.

It is an arithmetic number, because the mean of its divisors is an integer number (412875).

2⁸²⁵⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

825749 is a deficient number, since it is larger than the sum of its proper divisors (1).

825749 is an equidigital number, since it uses as much as digits as its factorization.

825749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20160, while the sum is 35.

The square root of 825749 is about 908.7073236197. The cubic root of 825749 is about 93.8172471593.

The spelling of 825749 in words is "eight hundred twenty-five thousand, seven hundred forty-nine".