4142657 has 2 divisors, whose sum is σ = 4142658. Its totient is φ = 4142656.

The previous prime is 4142651. The next prime is 4142659. The reversal of 4142657 is 7562414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3094081 + 1048576 = 1759^2 + 1024^2 .

It is a cyclic number.

It is not a de Polignac number, because 4142657 - 2⁴ = 4142641 is a prime.

Together with 4142659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4142651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2071328 + 2071329.

It is an arithmetic number, because the mean of its divisors is an integer number (2071329).

Almost surely, 2^4142657 is an apocalyptic number.

It is an amenable number.

4142657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4142657 is an equidigital number, since it uses as much as digits as its factorization.

4142657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6720, while the sum is 29.

The square root of 4142657 is about 2035.3518123411. The cubic root of 4142657 is about 160.6052208079.

The spelling of 4142657 in words is "four million, one hundred forty-two thousand, six hundred fifty-seven".