827123352 has 128 divisors (see below), whose sum is σ = 2387232000. Its totient is φ = 236183040.

The previous prime is 827123351. The next prime is 827123359. The reversal of 827123352 is 253321728.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827123351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348998 + ... + 1349610.

It is an arithmetic number, because the mean of its divisors is an integer number (18650250).

Almost surely, 2^827123352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827123352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193616000).

827123352 is an abundant number, since it is smaller than the sum of its proper divisors (1560108648).

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

827123352 is a wasteful number, since it uses less digits than its factorization.

827123352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 917 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 827123352 is about 28759.7522937872. The cubic root of 827123352 is about 938.6926718549.

The spelling of 827123352 in words is "eight hundred twenty-seven million, one hundred twenty-three thousand, three hundred fifty-two".