653961 has 32 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 319680.

The previous prime is 653951. The next prime is 653963. The reversal of 653961 is 169356.

It is a happy number.

653961 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 653961 - 2⁵ = 653929 is a prime.

653961 is strictly pandigital in base 7.

It is a Curzon number.

It is a zygodrome in base 6.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4315 + ... + 4463.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁶⁵³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

653961 is a deficient number, since it is larger than the sum of its proper divisors (498039).

653961 is a wasteful number, since it uses less digits than its factorization.

653961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189.

The product of its digits is 4860, while the sum is 30.

The square root of 653961 is about 808.6785517126. The cubic root of 653961 is about 86.7995119144.

The spelling of 653961 in words is "six hundred fifty-three thousand, nine hundred sixty-one".