8244821601 has 81 divisors (see below), whose sum is σ = 13276699761. Its totient is φ = 5118997176.

The previous prime is 8244821593. The next prime is 8244821609. The reversal of 8244821601 is 1061284428.

The square root of 8244821601 is 90801.

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

8244821601 is a `hidden beast` number, since 8 + 2 + 4 + 48 + 2 + 1 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (8244821593) and next prime (8244821609).

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 8244821601 - 2³ = 8244821593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8244821609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 139742710 + ... + 139742768.

Almost surely, 2^8244821601 is an apocalyptic number.

8244821601 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8244821601 is the 90801-st square number.

8244821601 is the 45401-st centered octagonal number.

It is an amenable number.

8244821601 is a deficient number, since it is larger than the sum of its proper divisors (5031878160).

8244821601 is an frugal number, since it uses more digits than its factorization.

8244821601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The cubic root of 8244821601 is about 2020.1971510513.

Multiplying 8244821601 by its sum of digits (36), we get a square (296813577636 = 544806²).

The spelling of 8244821601 in words is "eight billion, two hundred forty-four million, eight hundred twenty-one thousand, six hundred one".