825820371 has 12 divisors (see below), whose sum is σ = 1197607320. Its totient is φ = 548352000.

The previous prime is 825820361. The next prime is 825820393. The reversal of 825820371 is 173028528.

825820371 is a `hidden beast` number, since 8 + 2 + 582 + 0 + 3 + 71 = 666.

It is not a de Polignac number, because 825820371 - 2²² = 821626067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825820301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180526 + ... + 185043.

It is an arithmetic number, because the mean of its divisors is an integer number (99800610).

Almost surely, 2^825820371 is an apocalyptic number.

825820371 is a deficient number, since it is larger than the sum of its proper divisors (371786949).

825820371 is a wasteful number, since it uses less digits than its factorization.

825820371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365826 (or 365823 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 825820371 is about 28737.0905103492. The cubic root of 825820371 is about 938.1995001364.

Adding to 825820371 its reverse (173028528), we get a palindrome (998848899).

The spelling of 825820371 in words is "eight hundred twenty-five million, eight hundred twenty thousand, three hundred seventy-one".