114561953 has 12 divisors (see below), whose sum is σ = 129331860. Its totient is φ = 101328480.

The previous prime is 114561949. The next prime is 114561961. The reversal of 114561953 is 359165411.

It can be written as a sum of positive squares in 2 ways, for example, as 103083409 + 11478544 = 10153^2 + 3388^2 .

It is not a de Polignac number, because 114561953 - 2² = 114561949 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114561053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8318 + ... + 17271.

It is an arithmetic number, because the mean of its divisors is an integer number (10777655).

Almost surely, 2^114561953 is an apocalyptic number.

It is an amenable number.

114561953 is a deficient number, since it is larger than the sum of its proper divisors (14769907).

114561953 is a wasteful number, since it uses less digits than its factorization.

114561953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25648 (or 25637 counting only the distinct ones).

The product of its digits is 16200, while the sum is 35.

The square root of 114561953 is about 10703.3617616149. The cubic root of 114561953 is about 485.6761787495.

The spelling of 114561953 in words is "one hundred fourteen million, five hundred sixty-one thousand, nine hundred fifty-three".