824201225 has 24 divisors (see below), whose sum is σ = 1084325688. Its totient is φ = 619315200.

The previous prime is 824201219. The next prime is 824201227. The reversal of 824201225 is 522102428.

It can be written as a sum of positive squares in 12 ways, for example, as 7441984 + 816759241 = 2728^2 + 28579^2 .

It is not a de Polignac number, because 824201225 - 2¹⁴ = 824184841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 824201194 and 824201203.

It is not an unprimeable number, because it can be changed into a prime (824201227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243545 + ... + 246905.

It is an arithmetic number, because the mean of its divisors is an integer number (45180237).

Almost surely, 2^824201225 is an apocalyptic number.

824201225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

824201225 is a deficient number, since it is larger than the sum of its proper divisors (260124463).

824201225 is a wasteful number, since it uses less digits than its factorization.

824201225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 824201225 is about 28708.9049773759. The cubic root of 824201225 is about 937.5859381961.

The spelling of 824201225 in words is "eight hundred twenty-four million, two hundred one thousand, two hundred twenty-five".