115909541 has 8 divisors (see below), whose sum is σ = 126953568. Its totient is φ = 104950000.

The previous prime is 115909529. The next prime is 115909543. The reversal of 115909541 is 145909511.

115909541 = T₁₃₄ + T₁₃₅ + ... + T₈₈₆.

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

It is a cyclic number.

It is not a de Polignac number, because 115909541 - 2⁶ = 115909477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115909543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18230 + ... + 23751.

It is an arithmetic number, because the mean of its divisors is an integer number (15869196).

Almost surely, 2^115909541 is an apocalyptic number.

115909541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115909541 is a deficient number, since it is larger than the sum of its proper divisors (11044027).

115909541 is a wasteful number, since it uses less digits than its factorization.

115909541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42243.

The product of its (nonzero) digits is 8100, while the sum is 35.

The square root of 115909541 is about 10766.1293415972. The cubic root of 115909541 is about 487.5730905970.

The spelling of 115909541 in words is "one hundred fifteen million, nine hundred nine thousand, five hundred forty-one".