84961001 has 2 divisors, whose sum is σ = 84961002. Its totient is φ = 84961000.

The previous prime is 84960959. The next prime is 84961043. The reversal of 84961001 is 10016948.

It is a balanced prime because it is at equal distance from previous prime (84960959) and next prime (84961043).

It can be written as a sum of positive squares in only one way, i.e., 54169600 + 30791401 = 7360^2 + 5549^2 .

It is a cyclic number.

It is not a de Polignac number, because 84961001 - 2⁶ = 84960937 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (84961081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42480500 + 42480501.

It is an arithmetic number, because the mean of its divisors is an integer number (42480501).

Almost surely, 2^84961001 is an apocalyptic number.

It is an amenable number.

84961001 is a deficient number, since it is larger than the sum of its proper divisors (1).

84961001 is an equidigital number, since it uses as much as digits as its factorization.

84961001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 84961001 is about 9217.4291969073. The cubic root of 84961001 is about 439.6157130231.

Adding to 84961001 its reverse (10016948), we get a palindrome (94977949).

The spelling of 84961001 in words is "eighty-four million, nine hundred sixty-one thousand, one".