114001953 has 8 divisors (see below), whose sum is σ = 163695168. Its totient is φ = 70155024.

The previous prime is 114001933. The next prime is 114001963. The reversal of 114001953 is 359100411.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 114001953 - 2⁶ = 114001889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114001933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1461525 + ... + 1461602.

It is an arithmetic number, because the mean of its divisors is an integer number (20461896).

Almost surely, 2^114001953 is an apocalyptic number.

114001953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114001953 is a deficient number, since it is larger than the sum of its proper divisors (49693215).

114001953 is a wasteful number, since it uses less digits than its factorization.

114001953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923143.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 114001953 is about 10677.1697092441. The cubic root of 114001953 is about 484.8835274925.

It can be divided in two parts, 11400195 and 3, that multiplied together give a triangular number (34200585 = T₈₂₇₀).

The spelling of 114001953 in words is "one hundred fourteen million, one thousand, nine hundred fifty-three".