400001137 has 2 divisors, whose sum is σ = 400001138. Its totient is φ = 400001136.

The previous prime is 400001113. The next prime is 400001159. The reversal of 400001137 is 731100004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391683681 + 8317456 = 19791^2 + 2884^2 .

It is a cyclic number.

It is not a de Polignac number, because 400001137 - 2⁷ = 400001009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400001137.

It is not a weakly prime, because it can be changed into another prime (400001197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200000568 + 200000569.

It is an arithmetic number, because the mean of its divisors is an integer number (200000569).

Almost surely, 2^400001137 is an apocalyptic number.

It is an amenable number.

400001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

400001137 is an equidigital number, since it uses as much as digits as its factorization.

400001137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 400001137 is about 20000.0284249798. The cubic root of 400001137 is about 736.8069978514.

The spelling of 400001137 in words is "four hundred million, one thousand, one hundred thirty-seven".