84993401 has 2 divisors, whose sum is σ = 84993402. Its totient is φ = 84993400.

The previous prime is 84993383. The next prime is 84993409. The reversal of 84993401 is 10439948.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63361600 + 21631801 = 7960^2 + 4651^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-84993401 is a prime.

It is a super-3 number, since 3×84993401³ (a number of 25 digits) contains 333 as substring.

It is equal to p_4943369 and since 84993401 and 4943369 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (84993409) 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 as a sum of consecutive naturals, namely, 42496700 + 42496701.

It is an arithmetic number, because the mean of its divisors is an integer number (42496701).

Almost surely, 2^84993401 is an apocalyptic number.

It is an amenable number.

84993401 is a deficient number, since it is larger than the sum of its proper divisors (1).

84993401 is an equidigital number, since it uses as much as digits as its factorization.

84993401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 84993401 is about 9219.1865693238. The cubic root of 84993401 is about 439.6715886159.

The spelling of 84993401 in words is "eighty-four million, nine hundred ninety-three thousand, four hundred one".