827947952 has 80 divisors (see below), whose sum is σ = 1826549760. Its totient is φ = 360412416.

The previous prime is 827947943. The next prime is 827947961. The reversal of 827947952 is 259749728.

It is an interprime number because it is at equal distance from previous prime (827947943) and next prime (827947961).

It is a super-2 number, since 2×827947952² = 1370995622441988608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 827947894 and 827947903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513343 + ... + 1513889.

It is an arithmetic number, because the mean of its divisors is an integer number (22831872).

Almost surely, 2^827947952 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 827947952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913274880).

827947952 is an abundant number, since it is smaller than the sum of its proper divisors (998601808).

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

827947952 is a wasteful number, since it uses less digits than its factorization.

827947952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 53.

The square root of 827947952 is about 28774.0847291447. The cubic root of 827947952 is about 939.0045112315.

The spelling of 827947952 in words is "eight hundred twenty-seven million, nine hundred forty-seven thousand, nine hundred fifty-two".