214761257 has 2 divisors, whose sum is σ = 214761258. Its totient is φ = 214761256.

The previous prime is 214761251. The next prime is 214761259. The reversal of 214761257 is 752167412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131239936 + 83521321 = 11456^2 + 9139^2 .

It is a cyclic number.

It is not a de Polignac number, because 214761257 - 2⁶ = 214761193 is a prime.

It is a super-2 number, since 2×214761257² = 92244795016440098, which contains 22 as substring.

Together with 214761259, 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 (214761251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107380628 + 107380629.

It is an arithmetic number, because the mean of its divisors is an integer number (107380629).

Almost surely, 2^214761257 is an apocalyptic number.

It is an amenable number.

214761257 is a deficient number, since it is larger than the sum of its proper divisors (1).

214761257 is an equidigital number, since it uses as much as digits as its factorization.

214761257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23520, while the sum is 35.

The square root of 214761257 is about 14654.7349686032. The cubic root of 214761257 is about 598.8508161066.

The spelling of 214761257 in words is "two hundred fourteen million, seven hundred sixty-one thousand, two hundred fifty-seven".