117251641 has 16 divisors (see below), whose sum is σ = 137213440. Its totient is φ = 99221760.

The previous prime is 117251633. The next prime is 117251657. The reversal of 117251641 is 146152711.

117251641 is a nontrivial binomial coefficient, being equal to C(15314, 2).

It is a 3-Lehmer number, since φ(117251641) divides (117251641-1)³.

It is a cyclic number.

It is not a de Polignac number, because 117251641 - 2³ = 117251633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117251671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 15313.

It is an arithmetic number, because the mean of its divisors is an integer number (8575840).

It is a Poulet number, since it divides 2^117251640-1.

Almost surely, 2^117251641 is an apocalyptic number.

117251641 is the 15313-rd triangular number and also the 7657-th hexagonal number.

117251641 is the 5105-th centered nonagonal number.

It is an amenable number.

117251641 is a deficient number, since it is larger than the sum of its proper divisors (19961799).

117251641 is a wasteful number, since it uses less digits than its factorization.

117251641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376.

The product of its digits is 1680, while the sum is 28.

The square root of 117251641 is about 10828.2796879283. The cubic root of 117251641 is about 489.4477201156.

It can be divided in two parts, 11725 and 1641, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 117251641 in words is "one hundred seventeen million, two hundred fifty-one thousand, six hundred forty-one".