413197 has 2 divisors, whose sum is σ = 413198. Its totient is φ = 413196.

The previous prime is 413183. The next prime is 413201. The reversal of 413197 is 791314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 27556 = 621^2 + 166^2 .

It is a cyclic number.

It is not a de Polignac number, because 413197 - 2⁷ = 413069 is a prime.

It is an Ulam number.

413197 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206598 + 206599.

It is an arithmetic number, because the mean of its divisors is an integer number (206599).

2⁴¹³¹⁹⁷ is an apocalyptic number.

It is an amenable number.

413197 is a deficient number, since it is larger than the sum of its proper divisors (1).

413197 is an equidigital number, since it uses as much as digits as its factorization.

413197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 25.

The square root of 413197 is about 642.8040136776. The cubic root of 413197 is about 74.4821812256.

The spelling of 413197 in words is "four hundred thirteen thousand, one hundred ninety-seven".