827263032 has 64 divisors (see below), whose sum is σ = 2104185600. Its totient is φ = 270977280.

The previous prime is 827263007. The next prime is 827263037. The reversal of 827263032 is 230362728.

It is a super-2 number, since 2×827263032² = 1368728248227666048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 827262984 and 827263002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827263037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696343 + ... + 697529.

It is an arithmetic number, because the mean of its divisors is an integer number (32877900).

Almost surely, 2^827263032 is an apocalyptic number.

It is an amenable number.

827263032 is an abundant number, since it is smaller than the sum of its proper divisors (1276922568).

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

827263032 is a wasteful number, since it uses less digits than its factorization.

827263032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 827263032 is about 28762.1805849278. The cubic root of 827263032 is about 938.7455092832.

It can be divided in two parts, 82726 and 3032, that added together give a palindrome (85758).

The spelling of 827263032 in words is "eight hundred twenty-seven million, two hundred sixty-three thousand, thirty-two".