414997 has 8 divisors (see below), whose sum is σ = 467712. Its totient is φ = 364800.

The previous prime is 414991. The next prime is 415013. The reversal of 414997 is 799414.

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 414997 - 2¹¹ = 412949 is a prime.

It is a Duffinian number.

414997 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414991) 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, 268 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (58464).

2⁴¹⁴⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

414997 is a deficient number, since it is larger than the sum of its proper divisors (52715).

414997 is a wasteful number, since it uses less digits than its factorization.

414997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259.

The product of its digits is 9072, while the sum is 34.

The square root of 414997 is about 644.2026078805. The cubic root of 414997 is about 74.5901795227.

The spelling of 414997 in words is "four hundred fourteen thousand, nine hundred ninety-seven".