456961 has 4 divisors (see below), whose sum is σ = 467632. Its totient is φ = 446292.

The previous prime is 456959. The next prime is 456979. The reversal of 456961 is 169654.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 169654 = 2 ⋅84827.

It is a cyclic number.

It is not a de Polignac number, because 456961 - 2¹ = 456959 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

456961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (456901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5271 + ... + 5356.

It is an arithmetic number, because the mean of its divisors is an integer number (116908).

2⁴⁵⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

456961 is a deficient number, since it is larger than the sum of its proper divisors (10671).

456961 is a wasteful number, since it uses less digits than its factorization.

456961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670.

The product of its digits is 6480, while the sum is 31.

The square root of 456961 is about 675.9889052344. The cubic root of 456961 is about 77.0240550019.

It can be divided in two parts, 4 and 56961, that added together give a palindrome (56965).

The spelling of 456961 in words is "four hundred fifty-six thousand, nine hundred sixty-one".