832890401 has 32 divisors (see below), whose sum is σ = 1031719680. Its totient is φ = 656179200.

The previous prime is 832890371. The next prime is 832890407. The reversal of 832890401 is 104098238.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 832890401 - 2¹⁴ = 832874017 is a prime.

It is a super-3 number, since 3×832890401³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (832890407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1299041 + ... + 1299681.

It is an arithmetic number, because the mean of its divisors is an integer number (32241240).

Almost surely, 2^832890401 is an apocalyptic number.

It is an amenable number.

832890401 is a deficient number, since it is larger than the sum of its proper divisors (198829279).

832890401 is a wasteful number, since it uses less digits than its factorization.

832890401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 832890401 is about 28859.8406267256. The cubic root of 832890401 is about 940.8692732193.

The spelling of 832890401 in words is "eight hundred thirty-two million, eight hundred ninety thousand, four hundred one".