406997 has 8 divisors (see below), whose sum is σ = 437400. Its totient is φ = 377344.

The previous prime is 406993. The next prime is 407023. The reversal of 406997 is 799604.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5041 + 401956 = 71^2 + 634^2 .

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 406997 - 2² = 406993 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406993) by changing a digit.

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, 1379 + ... + 1647.

It is an arithmetic number, because the mean of its divisors is an integer number (54675).

2⁴⁰⁶⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

406997 is a deficient number, since it is larger than the sum of its proper divisors (30403).

406997 is a wasteful number, since it uses less digits than its factorization.

406997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 406997 is about 637.9631650809. The cubic root of 406997 is about 74.1077684703.

The spelling of 406997 in words is "four hundred six thousand, nine hundred ninety-seven".