457153 has 2 divisors, whose sum is σ = 457154. Its totient is φ = 457152.

The previous prime is 457151. The next prime is 457183. The reversal of 457153 is 351754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 37249 = 648^2 + 193^2 .

It is a cyclic number.

It is not a de Polignac number, because 457153 - 2¹ = 457151 is a prime.

Together with 457151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 228576 + 228577.

It is an arithmetic number, because the mean of its divisors is an integer number (228577).

2⁴⁵⁷¹⁵³ is an apocalyptic number.

It is an amenable number.

457153 is a deficient number, since it is larger than the sum of its proper divisors (1).

457153 is an equidigital number, since it uses as much as digits as its factorization.

457153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2100, while the sum is 25.

The square root of 457153 is about 676.1309044852. The cubic root of 457153 is about 77.0348411506.

It can be divided in two parts, 4571 and 53, that added together give a square (4624 = 68²).

The spelling of 457153 in words is "four hundred fifty-seven thousand, one hundred fifty-three".