407131397 has 2 divisors, whose sum is σ = 407131398. Its totient is φ = 407131396.

The previous prime is 407131391. The next prime is 407131409. The reversal of 407131397 is 793131704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 314317441 + 92813956 = 17729^2 + 9634^2 .

It is a cyclic number.

It is not a de Polignac number, because 407131397 - 2⁴ = 407131381 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407131391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203565698 + 203565699.

It is an arithmetic number, because the mean of its divisors is an integer number (203565699).

Almost surely, 2^407131397 is an apocalyptic number.

It is an amenable number.

407131397 is a deficient number, since it is larger than the sum of its proper divisors (1).

407131397 is an equidigital number, since it uses as much as digits as its factorization.

407131397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 407131397 is about 20177.4972927764. The cubic root of 407131397 is about 741.1592476769.

The spelling of 407131397 in words is "four hundred seven million, one hundred thirty-one thousand, three hundred ninety-seven".