401507 has 2 divisors, whose sum is σ = 401508. Its totient is φ = 401506.

The previous prime is 401477. The next prime is 401519. The reversal of 401507 is 705104.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401507 is a prime.

It is a super-2 number, since 2×401507² = 322415742098, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401507.

It is not a weakly prime, because it can be changed into another prime (401537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200753 + 200754.

It is an arithmetic number, because the mean of its divisors is an integer number (200754).

2⁴⁰¹⁵⁰⁷ is an apocalyptic number.

401507 is a deficient number, since it is larger than the sum of its proper divisors (1).

401507 is an equidigital number, since it uses as much as digits as its factorization.

401507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 401507 is about 633.6458001123. The cubic root of 401507 is about 73.7730446036.

The spelling of 401507 in words is "four hundred one thousand, five hundred seven".