413397 has 16 divisors (see below), whose sum is σ = 624960. Its totient is φ = 270000.

The previous prime is 413353. The next prime is 413411. The reversal of 413397 is 793314.

It is not a de Polignac number, because 413397 - 2⁸ = 413141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 4 + 1 + 3¹¹ + 3¹¹ + 9⁵ + 7² .

413397 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 413397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413197) 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 15 ways as a sum of consecutive naturals, for example, 1522 + ... + 1772.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁴¹³³⁹⁷ is an apocalyptic number.

It is an amenable number.

413397 is a deficient number, since it is larger than the sum of its proper divisors (211563).

413397 is a wasteful number, since it uses less digits than its factorization.

413397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 413397 is about 642.9595632697. The cubic root of 413397 is about 74.4941965060.

The spelling of 413397 in words is "four hundred thirteen thousand, three hundred ninety-seven".