1605253 has 16 divisors (see below), whose sum is σ = 1865920. Its totient is φ = 1368576.

The previous prime is 1605217. The next prime is 1605257. The reversal of 1605253 is 3525061.

It is a happy number.

It is a 5-Lehmer number, since φ(1605253) divides (1605253-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 1605253 - 2¹⁷ = 1474181 is a prime.

It is a Duffinian number.

1605253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605257) 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 15 ways as a sum of consecutive naturals, for example, 16501 + ... + 16597.

It is an arithmetic number, because the mean of its divisors is an integer number (116620).

2^1605253 is an apocalyptic number.

1605253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1605253 is a deficient number, since it is larger than the sum of its proper divisors (260667).

1605253 is a wasteful number, since it uses less digits than its factorization.

1605253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1605253 is about 1266.9857931327. The cubic root of 1605253 is about 117.0885685812.

The spelling of 1605253 in words is "one million, six hundred five thousand, two hundred fifty-three".