414137 has 6 divisors (see below), whose sum is σ = 440238. Its totient is φ = 389504.

The previous prime is 414131. The next prime is 414157. The reversal of 414137 is 731414.

It can be written as a sum of positive squares in 3 ways, for example, as 241081 + 173056 = 491^2 + 416^2 .

It is not a de Polignac number, because 414137 - 2¹⁰ = 413113 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (414131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 428 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (73373).

2⁴¹⁴¹³⁷ is an apocalyptic number.

It is an amenable number.

414137 is a deficient number, since it is larger than the sum of its proper divisors (26101).

414137 is a wasteful number, since it uses less digits than its factorization.

414137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1450 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 414137 is about 643.5347698454. The cubic root of 414137 is about 74.5386193776.

It can be divided in two parts, 4 and 14137, that added together give a palindrome (14141).

The spelling of 414137 in words is "four hundred fourteen thousand, one hundred thirty-seven".