981914401 has 16 divisors (see below), whose sum is σ = 1069850320. Its totient is φ = 895795200.

The previous prime is 981914387. The next prime is 981914443. The reversal of 981914401 is 104419189.

It can be written as a sum of positive squares in 8 ways, for example, as 59213025 + 922701376 = 7695^2 + 30376^2 .

It is a 3-Lehmer number, since φ(981914401) divides (981914401-1)³.

It is a cyclic number.

It is not a de Polignac number, because 981914401 - 2⁷ = 981914273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (981914201) 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, 851041 + ... + 852193.

It is an arithmetic number, because the mean of its divisors is an integer number (66865645).

It is a Poulet number, since it divides 2^981914400-1.

Almost surely, 2^981914401 is an apocalyptic number.

It is an amenable number.

981914401 is a deficient number, since it is larger than the sum of its proper divisors (87935919).

981914401 is a wasteful number, since it uses less digits than its factorization.

981914401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876.

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 981914401 is about 31335.5134152929. The cubic root of 981914401 is about 993.9347541675.

The spelling of 981914401 in words is "nine hundred eighty-one million, nine hundred fourteen thousand, four hundred one".