83658401 has 12 divisors (see below), whose sum is σ = 86545200. Its totient is φ = 80840400.

The previous prime is 83658373. The next prime is 83658451. The reversal of 83658401 is 10485638.

It is not a de Polignac number, because 83658401 - 2¹⁰ = 83657377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83658451) 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 11 ways as a sum of consecutive naturals, for example, 601790 + ... + 601928.

It is an arithmetic number, because the mean of its divisors is an integer number (7212100).

Almost surely, 2^83658401 is an apocalyptic number.

It is an amenable number.

83658401 is a deficient number, since it is larger than the sum of its proper divisors (2886799).

83658401 is a wasteful number, since it uses less digits than its factorization.

83658401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 83658401 is about 9146.4966517241. The cubic root of 83658401 is about 437.3574410081.

The spelling of 83658401 in words is "eighty-three million, six hundred fifty-eight thousand, four hundred one".