653457 has 24 divisors (see below), whose sum is σ = 1059136. Its totient is φ = 350784.

The previous prime is 653431. The next prime is 653461. The reversal of 653457 is 754356.

653457 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 653457 - 2¹² = 649361 is a prime.

It is a Duffinian number.

Its product of digits (12600) is a multiple of the sum of its prime factors (105).

It is a zygodrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653457.

It is not an unprimeable number, because it can be changed into a prime (653057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17643 + ... + 17679.

2⁶⁵³⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

653457 is a deficient number, since it is larger than the sum of its proper divisors (405679).

653457 is a wasteful number, since it uses less digits than its factorization.

653457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 653457 is about 808.3668721564. The cubic root of 653457 is about 86.7772077315. Note that the first 3 decimals are identical.

The spelling of 653457 in words is "six hundred fifty-three thousand, four hundred fifty-seven".