653967 has 16 divisors (see below), whose sum is σ = 989280. Its totient is φ = 426816.

The previous prime is 653963. The next prime is 653969. The reversal of 653967 is 769356.

It is a happy number.

It is not a de Polignac number, because 653967 - 2² = 653963 is a prime.

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 653967.

It is not an unprimeable number, because it can be changed into a prime (653963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (61830).

2⁶⁵³⁹⁶⁷ is an apocalyptic number.

653967 is a deficient number, since it is larger than the sum of its proper divisors (335313).

653967 is a wasteful number, since it uses less digits than its factorization.

653967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

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

The square root of 653967 is about 808.6822614600. The cubic root of 653967 is about 86.7997773714.

The spelling of 653967 in words is "six hundred fifty-three thousand, nine hundred sixty-seven".