827397252 has 144 divisors (see below), whose sum is σ = 2336390784. Its totient is φ = 244800000.

The previous prime is 827397251. The next prime is 827397269. The reversal of 827397252 is 252793728.

827397252 is a `hidden beast` number, since 8 + 2 + 7 + 397 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 827397198 and 827397207.

It is not an unprimeable number, because it can be changed into a prime (827397251) 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, 5479377 + ... + 5479527.

It is an arithmetic number, because the mean of its divisors is an integer number (16224936).

Almost surely, 2^827397252 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 827397252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168195392).

827397252 is an abundant number, since it is smaller than the sum of its proper divisors (1508993532).

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

827397252 is a wasteful number, since it uses less digits than its factorization.

827397252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 827397252 is about 28764.5137626208. The cubic root of 827397252 is about 938.7962757278.

The spelling of 827397252 in words is "eight hundred twenty-seven million, three hundred ninety-seven thousand, two hundred fifty-two".