115437 has 16 divisors (see below), whose sum is σ = 184320. Its totient is φ = 62832.

The previous prime is 115429. The next prime is 115459. The reversal of 115437 is 734511.

It is not a de Polignac number, because 115437 - 2³ = 115429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

115437 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115437.

It is not an unprimeable number, because it can be changed into a prime (115237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2¹¹⁵⁴³⁷ is an apocalyptic number.

It is an amenable number.

115437 is a deficient number, since it is larger than the sum of its proper divisors (68883).

115437 is a wasteful number, since it uses less digits than its factorization.

115437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its digits is 420, while the sum is 21.

The square root of 115437 is about 339.7602095596. The cubic root of 115437 is about 48.6909607443.

Adding to 115437 its reverse (734511), we get a palindrome (849948).

The spelling of 115437 in words is "one hundred fifteen thousand, four hundred thirty-seven".