1653125 has 18 divisors (see below), whose sum is σ = 2160018. Its totient is φ = 1265000.

The previous prime is 1653109. The next prime is 1653149. The reversal of 1653125 is 5213561.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 763876 + 889249 = 874^2 + 943^2 .

It is not a de Polignac number, because 1653125 - 2⁴ = 1653109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1653125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 71864 + ... + 71886.

It is an arithmetic number, because the mean of its divisors is an integer number (120001).

2^1653125 is an apocalyptic number.

It is an amenable number.

1653125 is a deficient number, since it is larger than the sum of its proper divisors (506893).

1653125 is an frugal number, since it uses more digits than its factorization.

1653125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its digits is 900, while the sum is 23.

The square root of 1653125 is about 1285.7390870624. The cubic root of 1653125 is about 118.2411281107.

Adding to 1653125 its reverse (5213561), we get a palindrome (6866686).

The spelling of 1653125 in words is "one million, six hundred fifty-three thousand, one hundred twenty-five".