653697 has 32 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 378000.

The previous prime is 653693. The next prime is 653707. The reversal of 653697 is 796356.

It is a happy number.

653697 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 653697 - 2² = 653693 is a prime.

653697 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653697.

It is not an unprimeable number, because it can be changed into a prime (653693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9172 + ... + 9242.

It is an arithmetic number, because the mean of its divisors is an integer number (34560).

2⁶⁵³⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

653697 is a deficient number, since it is larger than the sum of its proper divisors (452223).

653697 is a wasteful number, since it uses less digits than its factorization.

653697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 653697 is about 808.5153059776. The cubic root of 653697 is about 86.7878302008.

The spelling of 653697 in words is "six hundred fifty-three thousand, six hundred ninety-seven".