405164497 has 2 divisors, whose sum is σ = 405164498. Its totient is φ = 405164496.

The previous prime is 405164491. The next prime is 405164537. The reversal of 405164497 is 794461504.

It is an a-pointer prime, because the next prime (405164537) can be obtained adding 405164497 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271623361 + 133541136 = 16481^2 + 11556^2 .

It is a cyclic number.

It is not a de Polignac number, because 405164497 - 2¹¹ = 405162449 is a prime.

It is a super-3 number, since 3×405164497³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is equal to p_21596881 and since 405164497 and 21596881 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (405164491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202582248 + 202582249.

It is an arithmetic number, because the mean of its divisors is an integer number (202582249).

Almost surely, 2^405164497 is an apocalyptic number.

It is an amenable number.

405164497 is a deficient number, since it is larger than the sum of its proper divisors (1).

405164497 is an equidigital number, since it uses as much as digits as its factorization.

405164497 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 405164497 is about 20128.6983434101. The cubic root of 405164497 is about 739.9637777498.

The spelling of 405164497 in words is "four hundred five million, one hundred sixty-four thousand, four hundred ninety-seven".