827712633 has 48 divisors (see below), whose sum is σ = 1266363648. Its totient is φ = 476649600.

The previous prime is 827712631. The next prime is 827712649. The reversal of 827712633 is 336217728.

It is not a de Polignac number, because 827712633 - 2¹ = 827712631 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 827712591 and 827712600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827712631) 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, 2385166 + ... + 2385512.

It is an arithmetic number, because the mean of its divisors is an integer number (26382576).

Almost surely, 2^827712633 is an apocalyptic number.

It is an amenable number.

827712633 is a deficient number, since it is larger than the sum of its proper divisors (438651015).

827712633 is a wasteful number, since it uses less digits than its factorization.

827712633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 445 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 827712633 is about 28769.9953597494. The cubic root of 827712633 is about 938.9155416533.

It can be divided in two parts, 8277 and 12633, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 827712633 in words is "eight hundred twenty-seven million, seven hundred twelve thousand, six hundred thirty-three".