414965 has 8 divisors (see below), whose sum is σ = 502200. Its totient is φ = 329152.

The previous prime is 414959. The next prime is 414971. The reversal of 414965 is 569414.

It is an interprime number because it is at equal distance from previous prime (414959) and next prime (414971).

It can be written as a sum of positive squares in 4 ways, for example, as 7921 + 407044 = 89^2 + 638^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 414965 - 2⁴ = 414949 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (62775).

2⁴¹⁴⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

414965 is a deficient number, since it is larger than the sum of its proper divisors (87235).

414965 is a wasteful number, since it uses less digits than its factorization.

414965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711.

The product of its digits is 4320, while the sum is 29.

The square root of 414965 is about 644.1777704951. The cubic root of 414965 is about 74.5882622822.

Subtracting 414965 from its reverse (569414), we obtain a square (154449 = 393²).

The spelling of 414965 in words is "four hundred fourteen thousand, nine hundred sixty-five".