825673801 has 8 divisors (see below), whose sum is σ = 834169160. Its totient is φ = 817195392.

The previous prime is 825673753. The next prime is 825673817. The reversal of 825673801 is 108376528.

It can be written as a sum of positive squares in 4 ways, for example, as 150921225 + 674752576 = 12285^2 + 25976^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825673801 - 2¹³ = 825665609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825673301) 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 7 ways as a sum of consecutive naturals, for example, 108931 + ... + 116263.

It is an arithmetic number, because the mean of its divisors is an integer number (104271145).

Almost surely, 2^825673801 is an apocalyptic number.

It is an amenable number.

825673801 is a deficient number, since it is larger than the sum of its proper divisors (8495359).

825673801 is a wasteful number, since it uses less digits than its factorization.

825673801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 825673801 is about 28734.5402086061. The cubic root of 825673801 is about 938.1439916821.

It can be divided in two parts, 82567 and 3801, that added together give a palindrome (86368).

The spelling of 825673801 in words is "eight hundred twenty-five million, six hundred seventy-three thousand, eight hundred one".