414613 has 8 divisors (see below), whose sum is σ = 454680. Its totient is φ = 376768.

The previous prime is 414611. The next prime is 414629. The reversal of 414613 is 316414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13924 + 400689 = 118^2 + 633^2 .

It is not a de Polignac number, because 414613 - 2¹ = 414611 is a prime.

It is a super-3 number, since 3×414613³ = 213820824538333191, which contains 333 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414611) 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, 14283 + ... + 14311.

It is an arithmetic number, because the mean of its divisors is an integer number (56835).

2⁴¹⁴⁶¹³ is an apocalyptic number.

It is an amenable number.

414613 is a deficient number, since it is larger than the sum of its proper divisors (40067).

414613 is an frugal number, since it uses more digits than its factorization.

414613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 46 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 414613 is about 643.9044960241. The cubic root of 414613 is about 74.5671661291.

The spelling of 414613 in words is "four hundred fourteen thousand, six hundred thirteen".