958401 has 12 divisors (see below), whose sum is σ = 1402128. Its totient is φ = 630744.

The previous prime is 958393. The next prime is 958423. The reversal of 958401 is 104859.

It is not a de Polignac number, because 958401 - 2³ = 958393 is a prime.

958401 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 958401.

It is not an unprimeable number, because it can be changed into a prime (958481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (116844).

2⁹⁵⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

958401 is a deficient number, since it is larger than the sum of its proper divisors (443727).

958401 is a wasteful number, since it uses less digits than its factorization.

958401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 958401 is about 978.9795707777. The cubic root of 958401 is about 98.5936820762.

The spelling of 958401 in words is "nine hundred fifty-eight thousand, four hundred one".