114131929 has 2 divisors, whose sum is σ = 114131930. Its totient is φ = 114131928.

The previous prime is 114131891. The next prime is 114131951. The reversal of 114131929 is 929131411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97713225 + 16418704 = 9885^2 + 4052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114131929 is a prime.

It is a super-2 number, since 2×114131929² = 26052194434522082, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114131929.

It is not a weakly prime, because it can be changed into another prime (114131989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57065964 + 57065965.

It is an arithmetic number, because the mean of its divisors is an integer number (57065965).

Almost surely, 2^114131929 is an apocalyptic number.

It is an amenable number.

114131929 is a deficient number, since it is larger than the sum of its proper divisors (1).

114131929 is an equidigital number, since it uses as much as digits as its factorization.

114131929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 31.

The square root of 114131929 is about 10683.2546070942. The cubic root of 114131929 is about 485.0677327729.

The spelling of 114131929 in words is "one hundred fourteen million, one hundred thirty-one thousand, nine hundred twenty-nine".