456901 has 2 divisors, whose sum is σ = 456902. Its totient is φ = 456900.

The previous prime is 456899. The next prime is 456923. The reversal of 456901 is 109654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 391876 + 65025 = 626^2 + 255^2 .

It is a cyclic number.

It is not a de Polignac number, because 456901 - 2¹ = 456899 is a prime.

Together with 456899, it forms a pair of twin primes.

It is an Ulam number.

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456991) 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 as a sum of consecutive naturals, namely, 228450 + 228451.

It is an arithmetic number, because the mean of its divisors is an integer number (228451).

2⁴⁵⁶⁹⁰¹ is an apocalyptic number.

It is an amenable number.

456901 is a deficient number, since it is larger than the sum of its proper divisors (1).

456901 is an equidigital number, since it uses as much as digits as its factorization.

456901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 456901 is about 675.9445243509. The cubic root of 456901 is about 77.0206837109.

The spelling of 456901 in words is "four hundred fifty-six thousand, nine hundred one".