214657 has 2 divisors, whose sum is σ = 214658. Its totient is φ = 214656.

The previous prime is 214651. The next prime is 214663. The reversal of 214657 is 756412.

It is a balanced prime because it is at equal distance from previous prime (214651) and next prime (214663).

It can be written as a sum of positive squares in only one way, i.e., 112896 + 101761 = 336^2 + 319^2 .

It is a cyclic number.

It is not a de Polignac number, because 214657 - 2¹⁵ = 181889 is a prime.

It is not a weakly prime, because it can be changed into another prime (214651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107328 + 107329.

It is an arithmetic number, because the mean of its divisors is an integer number (107329).

2²¹⁴⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

214657 is a deficient number, since it is larger than the sum of its proper divisors (1).

214657 is an equidigital number, since it uses as much as digits as its factorization.

214657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 25.

The square root of 214657 is about 463.3109107284. The cubic root of 214657 is about 59.8753895312.

The spelling of 214657 in words is "two hundred fourteen thousand, six hundred fifty-seven".