827352936 has 24 divisors (see below), whose sum is σ = 2240747730. Its totient is φ = 275784288.

The previous prime is 827352887. The next prime is 827352937. The reversal of 827352936 is 639253728.

It can be written as a sum of positive squares in only one way, i.e., 811908036 + 15444900 = 28494^2 + 3930^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 827352891 and 827352900.

It is not an unprimeable number, because it can be changed into a prime (827352937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5745435 + ... + 5745578.

Almost surely, 2^827352936 is an apocalyptic number.

It is an amenable number.

827352936 is an abundant number, since it is smaller than the sum of its proper divisors (1413394794).

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

827352936 is a wasteful number, since it uses less digits than its factorization.

827352936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11491025 (or 11491018 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 827352936 is about 28763.7434281423. The cubic root of 827352936 is about 938.7795145575.

The spelling of 827352936 in words is "eight hundred twenty-seven million, three hundred fifty-two thousand, nine hundred thirty-six".