816552 has 48 divisors (see below), whose sum is σ = 2414880. Its totient is φ = 247200.

The previous prime is 816547. The next prime is 816559. The reversal of 816552 is 255618.

816552 is a `hidden beast` number, since 8 + 1 + 655 + 2 = 666.

816552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×816552³ = 1633325698858765824, which contains 333 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (50310).

2⁸¹⁶⁵⁵² 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 816552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207440).

816552 is an abundant number, since it is smaller than the sum of its proper divisors (1598328).

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

816552 is a wasteful number, since it uses less digits than its factorization.

816552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1047 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 816552 is about 903.6326687322. The cubic root of 816552 is about 93.4676411039.

The spelling of 816552 in words is "eight hundred sixteen thousand, five hundred fifty-two".