981724401 has 32 divisors (see below), whose sum is σ = 1687009280. Its totient is φ = 552605328.

The previous prime is 981724397. The next prime is 981724411. The reversal of 981724401 is 104427189.

It is not a de Polignac number, because 981724401 - 2² = 981724397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (981724411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26101 + ... + 51426.

It is an arithmetic number, because the mean of its divisors is an integer number (52719040).

Almost surely, 2^981724401 is an apocalyptic number.

It is an amenable number.

981724401 is a deficient number, since it is larger than the sum of its proper divisors (705284879).

981724401 is a wasteful number, since it uses less digits than its factorization.

981724401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77610 (or 77604 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 981724401 is about 31332.4815646638. The cubic root of 981724401 is about 993.8706413877.

The spelling of 981724401 in words is "nine hundred eighty-one million, seven hundred twenty-four thousand, four hundred one".