408082141 has 2 divisors, whose sum is σ = 408082142. Its totient is φ = 408082140.

The previous prime is 408082099. The next prime is 408082159. The reversal of 408082141 is 141280804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234396100 + 173686041 = 15310^2 + 13179^2 .

It is a cyclic number.

It is not a de Polignac number, because 408082141 - 2⁷ = 408082013 is a prime.

It is equal to p_21744127 and since 408082141 and 21744127 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408086141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204041070 + 204041071.

It is an arithmetic number, because the mean of its divisors is an integer number (204041071).

Almost surely, 2^408082141 is an apocalyptic number.

It is an amenable number.

408082141 is a deficient number, since it is larger than the sum of its proper divisors (1).

408082141 is an equidigital number, since it uses as much as digits as its factorization.

408082141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 408082141 is about 20201.0430671290. The cubic root of 408082141 is about 741.7357240640.

The spelling of 408082141 in words is "four hundred eight million, eighty-two thousand, one hundred forty-one".