1953225 has 18 divisors (see below), whose sum is σ = 3498846. Its totient is φ = 1041600.

The previous prime is 1953167. The next prime is 1953233. The reversal of 1953225 is 5223591.

It can be written as a sum of positive squares in 3 ways, for example, as 335241 + 1617984 = 579^2 + 1272^2 .

It is not a de Polignac number, because 1953225 - 2¹⁰ = 1952201 is a prime.

It is a d-powerful number, because it can be written as 1 + 9 + 5 + 3⁴ + 2 + 2 + 5⁹ .

1953225 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4116 + ... + 4565.

2^1953225 is an apocalyptic number.

1953225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1953225 is a deficient number, since it is larger than the sum of its proper divisors (1545621).

1953225 is a wasteful number, since it uses less digits than its factorization.

1953225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697 (or 8689 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 1953225 is about 1397.5782625671. The cubic root of 1953225 is about 125.0021332969.

The spelling of 1953225 in words is "one million, nine hundred fifty-three thousand, two hundred twenty-five".