1653225 has 48 divisors (see below), whose sum is σ = 3237888. Its totient is φ = 728640.

The previous prime is 1653193. The next prime is 1653227. The reversal of 1653225 is 5223561.

It is not a de Polignac number, because 1653225 - 2⁵ = 1653193 is a prime.

It is a Curzon number.

1653225 is a lucky number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1653195 and 1653204.

It is not an unprimeable number, because it can be changed into a prime (1653227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24642 + ... + 24708.

It is an arithmetic number, because the mean of its divisors is an integer number (67456).

2^1653225 is an apocalyptic number.

1653225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1653225 is the 1050-th pentagonal number.

It is an amenable number.

1653225 is a deficient number, since it is larger than the sum of its proper divisors (1584663).

1653225 is a wasteful number, since it uses less digits than its factorization.

1653225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 1653225 is about 1285.7779746130. Note that the first 3 decimals coincide. The cubic root of 1653225 is about 118.2435122568.

Adding to 1653225 its reverse (5223561), we get a palindrome (6876786).

The spelling of 1653225 in words is "one million, six hundred fifty-three thousand, two hundred twenty-five".