813657 has 16 divisors (see below), whose sum is σ = 1207808. Its totient is φ = 483840.

The previous prime is 813647. The next prime is 813677. The reversal of 813657 is 756318.

813657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 813657 - 2⁷ = 813529 is a prime.

It is a Duffinian number.

Its product of digits (5040) is a multiple of the sum of its prime divisors (720).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (813647) 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, 873 + ... + 1545.

It is an arithmetic number, because the mean of its divisors is an integer number (75488).

2⁸¹³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

813657 is a deficient number, since it is larger than the sum of its proper divisors (394151).

813657 is a wasteful number, since it uses less digits than its factorization.

813657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720.

The product of its digits is 5040, while the sum is 30.

The square root of 813657 is about 902.0293786790. The cubic root of 813657 is about 93.3570503786.

The spelling of 813657 in words is "eight hundred thirteen thousand, six hundred fifty-seven".