825072147 has 12 divisors (see below), whose sum is σ = 1214257824. Its totient is φ = 539669520.

The previous prime is 825072007. The next prime is 825072167. The reversal of 825072147 is 741270528.

825072147 is a `hidden beast` number, since 8 + 2 + 507 + 2 + 147 = 666.

It is not a de Polignac number, because 825072147 - 2¹⁵ = 825039379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825072167) 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, 864379 + ... + 865332.

It is an arithmetic number, because the mean of its divisors is an integer number (101188152).

Almost surely, 2^825072147 is an apocalyptic number.

825072147 is a deficient number, since it is larger than the sum of its proper divisors (389185677).

825072147 is a wasteful number, since it uses less digits than its factorization.

825072147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729770 (or 1729767 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 825072147 is about 28724.0691232980. The cubic root of 825072147 is about 937.9160666271.

The spelling of 825072147 in words is "eight hundred twenty-five million, seventy-two thousand, one hundred forty-seven".