46257 has 8 divisors (see below), whose sum is σ = 65376. Its totient is φ = 28992.

The previous prime is 46237. The next prime is 46261. The reversal of 46257 is 75264.

It is a happy number.

46257 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 46257 - 2¹⁰ = 45233 is a prime.

46257 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46257.

It is not an unprimeable number, because it can be changed into a prime (46237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (8172).

2⁴⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

46257 is a deficient number, since it is larger than the sum of its proper divisors (19119).

46257 is a wasteful number, since it uses less digits than its factorization.

46257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927.

The product of its digits is 1680, while the sum is 24.

The square root of 46257 is about 215.0744057297. The cubic root of 46257 is about 35.8970826016.

It can be divided in two parts, 46 and 257, that added together give a palindrome (303).

The spelling of 46257 in words is "forty-six thousand, two hundred fifty-seven".