401237 has 2 divisors, whose sum is σ = 401238. Its totient is φ = 401236.

The previous prime is 401231. The next prime is 401243. The reversal of 401237 is 732104.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (401231) and next prime (401243).

It can be written as a sum of positive squares in only one way, i.e., 358801 + 42436 = 599^2 + 206^2 .

It is a cyclic number.

It is not a de Polignac number, because 401237 - 2⁶ = 401173 is a prime.

It is a super-2 number, since 2×401237² = 321982260338, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401237.

It is not a weakly prime, because it can be changed into another prime (401231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200618 + 200619.

It is an arithmetic number, because the mean of its divisors is an integer number (200619).

2⁴⁰¹²³⁷ is an apocalyptic number.

It is an amenable number.

401237 is a deficient number, since it is larger than the sum of its proper divisors (1).

401237 is an equidigital number, since it uses as much as digits as its factorization.

401237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 401237 is about 633.4327115014. The cubic root of 401237 is about 73.7565042621.

The spelling of 401237 in words is "four hundred one thousand, two hundred thirty-seven".