827148673 has 8 divisors (see below), whose sum is σ = 891007208. Its totient is φ = 763323264.

The previous prime is 827148667. The next prime is 827148677. The reversal of 827148673 is 376841728.

It can be written as a sum of positive squares in 4 ways, for example, as 241895809 + 585252864 = 15553^2 + 24192^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-827148673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827148677) 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, 73711 + ... + 84187.

It is an arithmetic number, because the mean of its divisors is an integer number (111375901).

Almost surely, 2^827148673 is an apocalyptic number.

It is an amenable number.

827148673 is a deficient number, since it is larger than the sum of its proper divisors (63858535).

827148673 is a wasteful number, since it uses less digits than its factorization.

827148673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16563.

The product of its digits is 451584, while the sum is 46.

The square root of 827148673 is about 28760.1925063098. The cubic root of 827148673 is about 938.7022505933.

The spelling of 827148673 in words is "eight hundred twenty-seven million, one hundred forty-eight thousand, six hundred seventy-three".