653667 has 16 divisors (see below), whose sum is σ = 1055232. Its totient is φ = 351360.

The previous prime is 653659. The next prime is 653687. The reversal of 653667 is 766356.

It is not a de Polignac number, because 653667 - 2³ = 653659 is a prime.

653667 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 653667.

It is not an unprimeable number, because it can be changed into a prime (653617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (65952).

2⁶⁵³⁶⁶⁷ is an apocalyptic number.

653667 is a deficient number, since it is larger than the sum of its proper divisors (401565).

653667 is a wasteful number, since it uses less digits than its factorization.

653667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858.

The product of its digits is 22680, while the sum is 33.

The square root of 653667 is about 808.4967532402. The cubic root of 653667 is about 86.7865025343.

The spelling of 653667 in words is "six hundred fifty-three thousand, six hundred sixty-seven".