825314337 has 6 divisors (see below), whose sum is σ = 1192120722. Its totient is φ = 550209552.

The previous prime is 825314311. The next prime is 825314339. The reversal of 825314337 is 733413528.

825314337 is a `hidden beast` number, since 8 + 2 + 5 + 314 + 337 = 666.

It can be written as a sum of positive squares in only one way, i.e., 820478736 + 4835601 = 28644^2 + 2199^2 .

It is not a de Polignac number, because 825314337 - 2⁸ = 825314081 is a prime.

It is a super-2 number, since 2×825314337² = 1362287509715499138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825314339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45850788 + ... + 45850805.

It is an arithmetic number, because the mean of its divisors is an integer number (198686787).

Almost surely, 2^825314337 is an apocalyptic number.

It is an amenable number.

825314337 is a deficient number, since it is larger than the sum of its proper divisors (366806385).

825314337 is a wasteful number, since it uses less digits than its factorization.

825314337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91701599 (or 91701596 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 825314337 is about 28728.2846163846. The cubic root of 825314337 is about 938.0078289740.

It can be divided in two parts, 82531 and 4337, that added together give a palindrome (86868).

The spelling of 825314337 in words is "eight hundred twenty-five million, three hundred fourteen thousand, three hundred thirty-seven".