605961 has 10 divisors (see below), whose sum is σ = 905322. Its totient is φ = 403920.

The previous prime is 605953. The next prime is 605977. The reversal of 605961 is 169506.

605961 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 585225 + 20736 = 765^2 + 144^2 .

It is not a de Polignac number, because 605961 - 2³ = 605953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

605961 is strictly pandigital in base 7.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (605921) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3660 + ... + 3821.

2⁶⁰⁵⁹⁶¹ is an apocalyptic number.

It is an amenable number.

605961 is a deficient number, since it is larger than the sum of its proper divisors (299361).

605961 is an equidigital number, since it uses as much as digits as its factorization.

605961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7493 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 605961 is about 778.4349683821. The cubic root of 605961 is about 84.6216633824.

The spelling of 605961 in words is "six hundred five thousand, nine hundred sixty-one".