814137 has 8 divisors (see below), whose sum is σ = 1112160. Its totient is φ = 529440.

The previous prime is 814129. The next prime is 814139. The reversal of 814137 is 731418.

814137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 814137 - 2³ = 814129 is a prime.

814137 is a lucky number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (814139) 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, 3187 + ... + 3432.

It is an arithmetic number, because the mean of its divisors is an integer number (139020).

2⁸¹⁴¹³⁷ is an apocalyptic number.

It is an amenable number.

814137 is a deficient number, since it is larger than the sum of its proper divisors (298023).

814137 is a wasteful number, since it uses less digits than its factorization.

814137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663.

The product of its digits is 672, while the sum is 24.

The square root of 814137 is about 902.2954061725. The cubic root of 814137 is about 93.3754047856.

The spelling of 814137 in words is "eight hundred fourteen thousand, one hundred thirty-seven".