653505 has 16 divisors (see below), whose sum is σ = 1101120. Its totient is φ = 330048.

The previous prime is 653503. The next prime is 653507. The reversal of 653505 is 505356.

653505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (653503) and next prime (653507).

It is not a de Polignac number, because 653505 - 2¹ = 653503 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653505.

It is not an unprimeable number, because it can be changed into a prime (653501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (68820).

2⁶⁵³⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

653505 is a deficient number, since it is larger than the sum of its proper divisors (447615).

653505 is a wasteful number, since it uses less digits than its factorization.

653505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320.

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 653505 is about 808.3965611010. The cubic root of 653505 is about 86.7793324334.

It can be divided in two parts, 65 and 3505, that added together give a triangular number (3570 = T₈₄).

The spelling of 653505 in words is "six hundred fifty-three thousand, five hundred five".