115535201 has 8 divisors (see below), whose sum is σ = 119419560. Its totient is φ = 111691008.

The previous prime is 115535197. The next prime is 115535207. The reversal of 115535201 is 102535511.

115535201 = 7600² + 7601².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57775201 + 57760000 = 7601^2 + 7600^2 .

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 115535201 - 2² = 115535197 is a prime.

It is a super-2 number, since 2×115535201² = 26696765340220802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115535207) 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, 4136 + ... + 15753.

It is an arithmetic number, because the mean of its divisors is an integer number (14927445).

Almost surely, 2^115535201 is an apocalyptic number.

115535201 is the 7601-st centered square number.

It is an amenable number.

115535201 is a deficient number, since it is larger than the sum of its proper divisors (3884359).

115535201 is a wasteful number, since it uses less digits than its factorization.

115535201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20083.

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 115535201 is about 10748.7302040753. The cubic root of 115535201 is about 487.0476378790.

The spelling of 115535201 in words is "one hundred fifteen million, five hundred thirty-five thousand, two hundred one".