849816825 has 192 divisors, whose sum is σ = 1799884800. Its totient is φ = 347443200.

The previous prime is 849816809. The next prime is 849816829. The reversal of 849816825 is 528618948.

It is not a de Polignac number, because 849816825 - 2⁴ = 849816809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1105920) is a multiple of the sum of its prime factors (192).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (849816829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10757136 + ... + 10757214.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^849816825 is an apocalyptic number.

849816825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

849816825 is an abundant number, since it is smaller than the sum of its proper divisors (950067975).

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

849816825 is a wasteful number, since it uses less digits than its factorization.

849816825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 187 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 849816825 is about 29151.6178796306. The cubic root of 849816825 is about 947.2001868624.

It can be divided in two parts, 84981 and 6825, that added together give a triangular number (91806 = T₄₂₈).

The spelling of 849816825 in words is "eight hundred forty-nine million, eight hundred sixteen thousand, eight hundred twenty-five".