825632 has 12 divisors (see below), whose sum is σ = 1625526. Its totient is φ = 412800.

The previous prime is 825613. The next prime is 825637. The reversal of 825632 is 236528.

It can be written as a sum of positive squares in only one way, i.e., 698896 + 126736 = 836^2 + 356^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8⁶ + 2⁵ + 6 + 5⁶ + 3¹² + 2¹⁴ .

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (825637) by changing a digit.

825632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 12869 + ... + 12932.

2⁸²⁵⁶³² is an apocalyptic number.

It is an amenable number.

825632 is a deficient number, since it is larger than the sum of its proper divisors (799894).

825632 is a wasteful number, since it uses less digits than its factorization.

825632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25811 (or 25803 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 825632 is about 908.6429441755. The cubic root of 825632 is about 93.8128159756.

The spelling of 825632 in words is "eight hundred twenty-five thousand, six hundred thirty-two".