461257 has 2 divisors, whose sum is σ = 461258. Its totient is φ = 461256.

The previous prime is 461239. The next prime is 461269. The reversal of 461257 is 752164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 436921 + 24336 = 661^2 + 156^2 .

It is a cyclic number.

It is not a de Polignac number, because 461257 - 2¹¹ = 459209 is a prime.

It is not a weakly prime, because it can be changed into another prime (461207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230628 + 230629.

It is an arithmetic number, because the mean of its divisors is an integer number (230629).

2⁴⁶¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

461257 is a deficient number, since it is larger than the sum of its proper divisors (1).

461257 is an equidigital number, since it uses as much as digits as its factorization.

461257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 25.

The square root of 461257 is about 679.1590388120. The cubic root of 461257 is about 77.2646763973.

The spelling of 461257 in words is "four hundred sixty-one thousand, two hundred fifty-seven".