115461 has 6 divisors (see below), whose sum is σ = 166790. Its totient is φ = 76968.

The previous prime is 115459. The next prime is 115469. The reversal of 115461 is 164511.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 6561 = 330^2 + 81^2 .

It is not a de Polignac number, because 115461 - 2¹ = 115459 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6406 + ... + 6423.

2¹¹⁵⁴⁶¹ is an apocalyptic number.

It is an amenable number.

115461 is a deficient number, since it is larger than the sum of its proper divisors (51329).

115461 is a wasteful number, since it uses less digits than its factorization.

115461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12835 (or 12832 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 115461 is about 339.7955267510. The cubic root of 115461 is about 48.6943348852.

Adding to 115461 its reverse (164511), we get a palindrome (279972).

It can be divided in two parts, 115 and 461, that added together give a square (576 = 24²).

The spelling of 115461 in words is "one hundred fifteen thousand, four hundred sixty-one".