827265132 has 72 divisors (see below), whose sum is σ = 2208926720. Its totient is φ = 260638560.

The previous prime is 827265097. The next prime is 827265143. The reversal of 827265132 is 231562728.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39369 + ... + 56607.

Almost surely, 2^827265132 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 827265132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104463360).

827265132 is an abundant number, since it is smaller than the sum of its proper divisors (1381661588).

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

827265132 is a wasteful number, since it uses less digits than its factorization.

827265132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17323 (or 17318 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 827265132 is about 28762.2170911771. The cubic root of 827265132 is about 938.7463036149.

The spelling of 827265132 in words is "eight hundred twenty-seven million, two hundred sixty-five thousand, one hundred thirty-two".