653317 has 12 divisors (see below), whose sum is σ = 775200. Its totient is φ = 548856.

The previous prime is 653311. The next prime is 653321. The reversal of 653317 is 713356.

It is a happy number.

It is not a de Polignac number, because 653317 - 2¹⁵ = 620549 is a prime.

It is a Duffinian number.

653317 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 653291 and 653300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653311) 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, 3184 + ... + 3382.

It is an arithmetic number, because the mean of its divisors is an integer number (64600).

2⁶⁵³³¹⁷ is an apocalyptic number.

653317 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

653317 is a deficient number, since it is larger than the sum of its proper divisors (121883).

653317 is a wasteful number, since it uses less digits than its factorization.

653317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its digits is 1890, while the sum is 25.

The square root of 653317 is about 808.2802731726. The cubic root of 653317 is about 86.7710100900.

The spelling of 653317 in words is "six hundred fifty-three thousand, three hundred seventeen".