413657 has 4 divisors (see below), whose sum is σ = 415140. Its totient is φ = 412176.

The previous prime is 413653. The next prime is 413681. The reversal of 413657 is 756314.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 326041 = 296^2 + 571^2 .

It is a cyclic number.

It is not a de Polignac number, because 413657 - 2² = 413653 is a prime.

It is a super-2 number, since 2×413657² = 342224227298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (103785).

2⁴¹³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

413657 is a deficient number, since it is larger than the sum of its proper divisors (1483).

413657 is a wasteful number, since it uses less digits than its factorization.

413657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482.

The product of its digits is 2520, while the sum is 26.

The square root of 413657 is about 643.1617214978. The cubic root of 413657 is about 74.5098105784.

The spelling of 413657 in words is "four hundred thirteen thousand, six hundred fifty-seven".