413965 has 4 divisors (see below), whose sum is σ = 496764. Its totient is φ = 331168.

The previous prime is 413951. The next prime is 413981. The reversal of 413965 is 569314.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 569314 = 2 ⋅284657.

It can be written as a sum of positive squares in 2 ways, for example, as 264196 + 149769 = 514^2 + 387^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413965 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41392 + ... + 41401.

It is an arithmetic number, because the mean of its divisors is an integer number (124191).

2⁴¹³⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

413965 is a deficient number, since it is larger than the sum of its proper divisors (82799).

413965 is an equidigital number, since it uses as much as digits as its factorization.

413965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82798.

The product of its digits is 3240, while the sum is 28.

The square root of 413965 is about 643.4011190540. The cubic root of 413965 is about 74.5282987850.

It can be divided in two parts, 413 and 965, that added together give a triangular number (1378 = T₅₂).

The spelling of 413965 in words is "four hundred thirteen thousand, nine hundred sixty-five".