407121761 has 2 divisors, whose sum is σ = 407121762. Its totient is φ = 407121760.

The previous prime is 407121709. The next prime is 407121811. The reversal of 407121761 is 167121704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404814400 + 2307361 = 20120^2 + 1519^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-407121761 is a prime.

It is a super-2 number, since 2×407121761² = 331496256559482242, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (407121061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203560880 + 203560881.

It is an arithmetic number, because the mean of its divisors is an integer number (203560881).

Almost surely, 2^407121761 is an apocalyptic number.

It is an amenable number.

407121761 is a deficient number, since it is larger than the sum of its proper divisors (1).

407121761 is an equidigital number, since it uses as much as digits as its factorization.

407121761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 407121761 is about 20177.2585105113. The cubic root of 407121761 is about 741.1534003699.

The spelling of 407121761 in words is "four hundred seven million, one hundred twenty-one thousand, seven hundred sixty-one".