461957 has 2 divisors, whose sum is σ = 461958. Its totient is φ = 461956.

The previous prime is 461933. The next prime is 461971. The reversal of 461957 is 759164.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 410881 + 51076 = 641^2 + 226^2 .

It is a cyclic number.

It is not a de Polignac number, because 461957 - 2¹⁴ = 445573 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461957.

It is not a weakly prime, because it can be changed into another prime (461917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230978 + 230979.

It is an arithmetic number, because the mean of its divisors is an integer number (230979).

2⁴⁶¹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

461957 is a deficient number, since it is larger than the sum of its proper divisors (1).

461957 is an equidigital number, since it uses as much as digits as its factorization.

461957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 32.

The square root of 461957 is about 679.6741866512. The cubic root of 461957 is about 77.3037420640.

The spelling of 461957 in words is "four hundred sixty-one thousand, nine hundred fifty-seven".