217258157 has 2 divisors, whose sum is σ = 217258158. Its totient is φ = 217258156.

The previous prime is 217258133. The next prime is 217258177. The reversal of 217258157 is 751852712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 140327716 + 76930441 = 11846^2 + 8771^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-217258157 is a prime.

It is a super-2 number, since 2×217258157² = 94402213566073298, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 217258157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217258127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108629078 + 108629079.

It is an arithmetic number, because the mean of its divisors is an integer number (108629079).

Almost surely, 2^217258157 is an apocalyptic number.

It is an amenable number.

217258157 is a deficient number, since it is larger than the sum of its proper divisors (1).

217258157 is an equidigital number, since it uses as much as digits as its factorization.

217258157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39200, while the sum is 38.

The square root of 217258157 is about 14739.6796776592. The cubic root of 217258157 is about 601.1627055893.

The spelling of 217258157 in words is "two hundred seventeen million, two hundred fifty-eight thousand, one hundred fifty-seven".