827964741 has 8 divisors (see below), whose sum is σ = 1151951040. Its totient is φ = 527977472.

The previous prime is 827964721. The next prime is 827964749. The reversal of 827964741 is 147469728.

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 827964741 - 2⁹ = 827964229 is a prime.

It is a super-2 number, since 2×827964741² = 1371051224678394162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827964749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5999676 + ... + 5999813.

It is an arithmetic number, because the mean of its divisors is an integer number (143993880).

Almost surely, 2^827964741 is an apocalyptic number.

It is an amenable number.

827964741 is a deficient number, since it is larger than the sum of its proper divisors (323986299).

827964741 is a wasteful number, since it uses less digits than its factorization.

827964741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11999515.

The product of its digits is 677376, while the sum is 48.

The square root of 827964741 is about 28774.3764658767. The cubic root of 827964741 is about 939.0108581845.

The spelling of 827964741 in words is "eight hundred twenty-seven million, nine hundred sixty-four thousand, seven hundred forty-one".