827925741 has 48 divisors (see below), whose sum is σ = 1301185600. Its totient is φ = 505564416.

The previous prime is 827925731. The next prime is 827925743. The reversal of 827925741 is 147529728.

It is a happy number.

827925741 is a `hidden beast` number, since 8 + 2 + 79 + 2 + 574 + 1 = 666.

827925741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 827925741 - 2⁷ = 827925613 is a prime.

It is a super-2 number, since 2×827925741² = 1370922065220798162, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827925743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800961 + ... + 801993.

Almost surely, 2^827925741 is an apocalyptic number.

It is an amenable number.

827925741 is a deficient number, since it is larger than the sum of its proper divisors (473259859).

827925741 is a wasteful number, since it uses less digits than its factorization.

827925741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1207 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 827925741 is about 28773.6987716213. The cubic root of 827925741 is about 938.9961144011.

The spelling of 827925741 in words is "eight hundred twenty-seven million, nine hundred twenty-five thousand, seven hundred forty-one".