46957 has 2 divisors, whose sum is σ = 46958. Its totient is φ = 46956.

The previous prime is 46933. The next prime is 46993. The reversal of 46957 is 75964.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 11236 = 189^2 + 106^2 .

It is a cyclic number.

It is not a de Polignac number, because 46957 - 2⁷ = 46829 is a prime.

It is a plaindrome in base 8.

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46997) 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, 23478 + 23479.

It is an arithmetic number, because the mean of its divisors is an integer number (23479).

2⁴⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

46957 is a deficient number, since it is larger than the sum of its proper divisors (1).

46957 is an equidigital number, since it uses as much as digits as its factorization.

46957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

The square root of 46957 is about 216.6956390886. The cubic root of 46957 is about 36.0772518035.

The spelling of 46957 in words is "forty-six thousand, nine hundred fifty-seven".