457121 has 12 divisors (see below), whose sum is σ = 560880. Its totient is φ = 370440.

The previous prime is 457117. The next prime is 457139. The reversal of 457121 is 121754.

It is not a de Polignac number, because 457121 - 2² = 457117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 457093 and 457102.

It is not an unprimeable number, because it can be changed into a prime (457151) 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 11 ways as a sum of consecutive naturals, for example, 686 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (46740).

2⁴⁵⁷¹²¹ is an apocalyptic number.

It is an amenable number.

457121 is a deficient number, since it is larger than the sum of its proper divisors (103759).

457121 is a wasteful number, since it uses less digits than its factorization.

457121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its digits is 280, while the sum is 20.

The square root of 457121 is about 676.1072400145. The cubic root of 457121 is about 77.0330436689.

Adding to 457121 its reverse (121754), we get a palindrome (578875).

It can be divided in two parts, 4 and 57121, that multiplied together give a square (228484 = 478²).

The spelling of 457121 in words is "four hundred fifty-seven thousand, one hundred twenty-one".