114953017 has 2 divisors, whose sum is σ = 114953018. Its totient is φ = 114953016.

The previous prime is 114952993. The next prime is 114953029. The reversal of 114953017 is 710359411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114468601 + 484416 = 10699^2 + 696^2 .

It is a cyclic number.

It is not a de Polignac number, because 114953017 - 2¹⁹ = 114428729 is a prime.

It is a super-2 number, since 2×114953017² = 26428392234804578, 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 114953017.

It is not a weakly prime, because it can be changed into another prime (114953077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57476508 + 57476509.

It is an arithmetic number, because the mean of its divisors is an integer number (57476509).

Almost surely, 2^114953017 is an apocalyptic number.

It is an amenable number.

114953017 is a deficient number, since it is larger than the sum of its proper divisors (1).

114953017 is an equidigital number, since it uses as much as digits as its factorization.

114953017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 114953017 is about 10721.6144773070. The cubic root of 114953017 is about 486.2281792469.

The spelling of 114953017 in words is "one hundred fourteen million, nine hundred fifty-three thousand, seventeen".