825207084 has 36 divisors (see below), whose sum is σ = 2246398336. Its totient is φ = 253909728.

The previous prime is 825207083. The next prime is 825207101. The reversal of 825207084 is 480702528.

It is a happy number.

825207084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (825207083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881164 + ... + 882099.

Almost surely, 2^825207084 is an apocalyptic number.

It is an amenable number.

825207084 is an abundant number, since it is smaller than the sum of its proper divisors (1421191252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825207084 is a wasteful number, since it uses less digits than its factorization.

825207084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763286 (or 1763281 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 825207084 is about 28726.4178762337. The cubic root of 825207084 is about 937.9671945525.

The spelling of 825207084 in words is "eight hundred twenty-five million, two hundred seven thousand, eighty-four".