455957 has 4 divisors (see below), whose sum is σ = 482796. Its totient is φ = 429120.

The previous prime is 455953. The next prime is 455969. The reversal of 455957 is 759554.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 759554 = 2 ⋅379777.

It can be written as a sum of positive squares in 2 ways, for example, as 376996 + 78961 = 614^2 + 281^2 .

It is a cyclic number.

It is not a de Polignac number, because 455957 - 2² = 455953 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455953) 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 in 3 ways as a sum of consecutive naturals, for example, 13394 + ... + 13427.

It is an arithmetic number, because the mean of its divisors is an integer number (120699).

2⁴⁵⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

455957 is a deficient number, since it is larger than the sum of its proper divisors (26839).

455957 is a wasteful number, since it uses less digits than its factorization.

455957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26838.

The product of its digits is 31500, while the sum is 35.

The square root of 455957 is about 675.2458811426. The cubic root of 455957 is about 76.9676031701.

The spelling of 455957 in words is "four hundred fifty-five thousand, nine hundred fifty-seven".