401005037 has 2 divisors, whose sum is σ = 401005038. Its totient is φ = 401005036.

The previous prime is 401005019. The next prime is 401005139. The reversal of 401005037 is 730500104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 367527241 + 33477796 = 19171^2 + 5786^2 .

It is a cyclic number.

It is not a de Polignac number, because 401005037 - 2²⁴ = 384227821 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 (401005237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200502518 + 200502519.

It is an arithmetic number, because the mean of its divisors is an integer number (200502519).

Almost surely, 2^401005037 is an apocalyptic number.

It is an amenable number.

401005037 is a deficient number, since it is larger than the sum of its proper divisors (1).

401005037 is an equidigital number, since it uses as much as digits as its factorization.

401005037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 401005037 is about 20025.1101619941. The cubic root of 401005037 is about 737.4228816039.

The spelling of 401005037 in words is "four hundred one million, five thousand, thirty-seven".