401537 has 2 divisors, whose sum is σ = 401538. Its totient is φ = 401536.

The previous prime is 401519. The next prime is 401539. The reversal of 401537 is 735104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234256 + 167281 = 484^2 + 409^2 .

It is a cyclic number.

It is not a de Polignac number, because 401537 - 2⁶ = 401473 is a prime.

It is a super-2 number, since 2×401537² = 322463924738, which contains 22 as substring.

Together with 401539, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401537.

It is not a weakly prime, because it can be changed into another prime (401539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200768 + 200769.

It is an arithmetic number, because the mean of its divisors is an integer number (200769).

2⁴⁰¹⁵³⁷ is an apocalyptic number.

It is an amenable number.

401537 is a deficient number, since it is larger than the sum of its proper divisors (1).

401537 is an equidigital number, since it uses as much as digits as its factorization.

401537 is an odious number, because the sum of its binary digits is odd.

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

The square root of 401537 is about 633.6694722014. The cubic root of 401537 is about 73.7748819615.

The spelling of 401537 in words is "four hundred one thousand, five hundred thirty-seven".