653523 has 12 divisors (see below), whose sum is σ = 944280. Its totient is φ = 401856.

The previous prime is 653519. The next prime is 653537. The reversal of 653523 is 325356.

It is not a de Polignac number, because 653523 - 2² = 653519 is a prime.

653523 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 653493 and 653502.

It is not an unprimeable number, because it can be changed into a prime (653503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (78690).

2⁶⁵³⁵²³ is an apocalyptic number.

653523 is a deficient number, since it is larger than the sum of its proper divisors (290757).

653523 is a wasteful number, since it uses less digits than its factorization.

653523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1305 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 653523 is about 808.4076941742. The cubic root of 653523 is about 86.7801291698.

Adding to 653523 its reverse (325356), we get a palindrome (978879).

It can be divided in two parts, 653 and 523, that added together give a triangular number (1176 = T₄₈).

The spelling of 653523 in words is "six hundred fifty-three thousand, five hundred twenty-three".