401262137 has 2 divisors, whose sum is σ = 401262138. Its totient is φ = 401262136.

The previous prime is 401262073. The next prime is 401262139. The reversal of 401262137 is 731262104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 354531241 + 46730896 = 18829^2 + 6836^2 .

It is a cyclic number.

It is not a de Polignac number, because 401262137 - 2⁶ = 401262073 is a prime.

It is a super-2 number, since 2×401262137² = 322022605179613538, which contains 22 as substring.

Together with 401262139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (401262139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200631068 + 200631069.

It is an arithmetic number, because the mean of its divisors is an integer number (200631069).

Almost surely, 2^401262137 is an apocalyptic number.

It is an amenable number.

401262137 is a deficient number, since it is larger than the sum of its proper divisors (1).

401262137 is an equidigital number, since it uses as much as digits as its factorization.

401262137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 401262137 is about 20031.5285737260. The cubic root of 401262137 is about 737.5804448111.

The spelling of 401262137 in words is "four hundred one million, two hundred sixty-two thousand, one hundred thirty-seven".