3406997 has 12 divisors (see below), whose sum is σ = 3851148. Its totient is φ = 3009600.

The previous prime is 3406981. The next prime is 3407003. The reversal of 3406997 is 7996043.

It can be written as a sum of positive squares in 2 ways, for example, as 1234321 + 2172676 = 1111^2 + 1474^2 .

It is not a de Polignac number, because 3406997 - 2⁴ = 3406981 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3406997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4097 + ... + 4857.

It is an arithmetic number, because the mean of its divisors is an integer number (320929).

Almost surely, 2^3406997 is an apocalyptic number.

3406997 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3406997 is a deficient number, since it is larger than the sum of its proper divisors (444151).

3406997 is a wasteful number, since it uses less digits than its factorization.

3406997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 3406997 is about 1845.8052443310. The cubic root of 3406997 is about 150.4725394429.

It can be divided in two parts, 340 and 6997, that added together give a palindrome (7337).

The spelling of 3406997 in words is "three million, four hundred six thousand, nine hundred ninety-seven".