653409 has 12 divisors (see below), whose sum is σ = 956800. Its totient is φ = 429624.

The previous prime is 653363. The next prime is 653431. The reversal of 653409 is 904356.

It is a happy number.

653409 is a `hidden beast` number, since 653 + 4 + 0 + 9 = 666.

653409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 653409 - 2⁷ = 653281 is a prime.

It is a d-powerful number, because it can be written as 6⁵ + 5⁷ + 4⁷ + 3⁹ + 0 + 9⁶ .

It is a Duffinian number.

It is a Curzon number.

653409 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (653209) 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, 252 + ... + 1170.

2⁶⁵³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

653409 is a deficient number, since it is larger than the sum of its proper divisors (303391).

653409 is a wasteful number, since it uses less digits than its factorization.

653409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 653409 is about 808.3371821214. The cubic root of 653409 is about 86.7750829256.

The spelling of 653409 in words is "six hundred fifty-three thousand, four hundred nine".