10791225 has 45 divisors (see below), whose sum is σ = 20266653. Its totient is φ = 5676480.

The previous prime is 10791217. The next prime is 10791227. The reversal of 10791225 is 52219701.

The square root of 10791225 is 3285.

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

It can be written as a sum of positive squares in 4 ways, for example, as 59049 + 10732176 = 243^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 10791225 - 2³ = 10791217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10791227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 147789 + ... + 147861.

Almost surely, 2^10791225 is an apocalyptic number.

10791225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10791225 is the 3285-th square number.

10791225 is the 1643-rd centered octagonal number.

It is an amenable number.

10791225 is a deficient number, since it is larger than the sum of its proper divisors (9475428).

10791225 is an frugal number, since it uses more digits than its factorization.

10791225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The cubic root of 10791225 is about 220.9820081857.

It can be divided in two parts, 1079 and 1225, that added together give a square (2304 = 48²).

The spelling of 10791225 in words is "ten million, seven hundred ninety-one thousand, two hundred twenty-five".