413697 has 8 divisors (see below), whose sum is σ = 566656. Its totient is φ = 268272.

The previous prime is 413689. The next prime is 413711. The reversal of 413697 is 796314.

It is a happy number.

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

It is not a de Polignac number, because 413697 - 2³ = 413689 is a prime.

It is a super-2 number, since 2×413697² = 342290415618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1753 + ... + 1974.

It is an arithmetic number, because the mean of its divisors is an integer number (70832).

It is a Proth number, since it is equal to 101 ⋅ 2¹² + 1 and 101 < 2¹².

2⁴¹³⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

413697 is a deficient number, since it is larger than the sum of its proper divisors (152959).

413697 is a wasteful number, since it uses less digits than its factorization.

413697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767.

The product of its digits is 4536, while the sum is 30.

The square root of 413697 is about 643.1928171241. The cubic root of 413697 is about 74.5122121626.

The spelling of 413697 in words is "four hundred thirteen thousand, six hundred ninety-seven".