825947046 has 48 divisors (see below), whose sum is σ = 1813921200. Its totient is φ = 271586304.

The previous prime is 825947033. The next prime is 825947117. The reversal of 825947046 is 640749528.

It is a happy number.

825947046 is a nontrivial binomial coefficient, being equal to C(40644, 2).

It is a super-2 number, since 2×825947046² = 1364377045592252232, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 825946992 and 825947010.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 731010 + ... + 732138.

It is an arithmetic number, because the mean of its divisors is an integer number (37790025).

Almost surely, 2^825947046 is an apocalyptic number.

825947046 is the 40643-rd triangular number and also the 20322-nd hexagonal number.

825947046 is an abundant number, since it is smaller than the sum of its proper divisors (987974154).

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

825947046 is a wasteful number, since it uses less digits than its factorization.

825947046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 825947046 is about 28739.2944589807. The cubic root of 825947046 is about 938.2474687381.

The spelling of 825947046 in words is "eight hundred twenty-five million, nine hundred forty-seven thousand, forty-six".