46557 has 12 divisors (see below), whose sum is σ = 76960. Its totient is φ = 26568.

The previous prime is 46549. The next prime is 46559. The reversal of 46557 is 75564.

46557 is a `hidden beast` number, since 4 + 655 + 7 = 666.

It is not a de Polignac number, because 46557 - 2³ = 46549 is a prime.

It is a Duffinian number.

46557 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 46557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46559) 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, 307 + ... + 432.

2⁴⁶⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

46557 is a deficient number, since it is larger than the sum of its proper divisors (30403).

46557 is a wasteful number, since it uses less digits than its factorization.

46557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 749 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 46557 is about 215.7707116362. The cubic root of 46557 is about 35.9745190057.

It can be divided in two parts, 4 and 6557, that added together give a 8-th power (6561 = 3⁸).

The spelling of 46557 in words is "forty-six thousand, five hundred fifty-seven".