83966401 has 16 divisors (see below), whose sum is σ = 89103168. Its totient is φ = 79027200.

The previous prime is 83966347. The next prime is 83966423. The reversal of 83966401 is 10466938.

It is a 2-Lehmer number, since φ(83966401) divides (83966401-1)².

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 83966401 - 2¹⁷ = 83835329 is a prime.

It is a deceptive number, since it divides R_83966400.

It is not an unprimeable number, because it can be changed into a prime (83966461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170766 + ... + 171256.

It is an arithmetic number, because the mean of its divisors is an integer number (5568948).

It is a Poulet number, since it divides 2^83966400-1.

Almost surely, 2^83966401 is an apocalyptic number.

It is an amenable number.

83966401 is a deficient number, since it is larger than the sum of its proper divisors (5136767).

83966401 is a wasteful number, since it uses less digits than its factorization.

83966401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 83966401 is about 9163.3182308594. The cubic root of 83966401 is about 437.8935143511.

The spelling of 83966401 in words is "eighty-three million, nine hundred sixty-six thousand, four hundred one".