459961 has 2 divisors, whose sum is σ = 459962. Its totient is φ = 459960.

The previous prime is 459937. The next prime is 460013. The reversal of 459961 is 169954.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 164025 = 544^2 + 405^2 .

It is a cyclic number.

It is not a de Polignac number, because 459961 - 2⁵ = 459929 is a prime.

It is not a weakly prime, because it can be changed into another prime (451961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 229980 + 229981.

It is an arithmetic number, because the mean of its divisors is an integer number (229981).

2⁴⁵⁹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

459961 is a deficient number, since it is larger than the sum of its proper divisors (1).

459961 is an equidigital number, since it uses as much as digits as its factorization.

459961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9720, while the sum is 34.

The square root of 459961 is about 678.2042465217. The cubic root of 459961 is about 77.1922446503.

Subtracting from 459961 its product of digits (9720), we obtain a square (450241 = 671²).

The spelling of 459961 in words is "four hundred fifty-nine thousand, nine hundred sixty-one".