882505849 has 9 divisors (see below), whose sum is σ = 899056431. Its totient is φ = 866256120.

The previous prime is 882505847. The next prime is 882505927. The reversal of 882505849 is 948505288.

The square root of 882505849 is 29707.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28697449 + 853808400 = 5357^2 + 29220^2 .

It is not a de Polignac number, because 882505849 - 2¹ = 882505847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (882505847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1811884 + ... + 1812370.

It is an arithmetic number, because the mean of its divisors is an integer number (99895159).

Almost surely, 2^882505849 is an apocalyptic number.

882505849 is the 29707-th square number.

882505849 is the 14854-th centered octagonal number.

It is an amenable number.

882505849 is a deficient number, since it is larger than the sum of its proper divisors (16550582).

882505849 is an frugal number, since it uses more digits than its factorization.

882505849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

The cubic root of 882505849 is about 959.1926983966.

Multiplying 882505849 by its sum of digits (49), we get a square (43242786601 = 207949²).

Multiplying 882505849 by its product of nonzero digits (921600), we get a square (813317390438400 = 28518720²).

The spelling of 882505849 in words is "eight hundred eighty-two million, five hundred five thousand, eight hundred forty-nine".