819957401 has 8 divisors (see below), whose sum is σ = 840697704. Its totient is φ = 799252480.

The previous prime is 819957349. The next prime is 819957403. The reversal of 819957401 is 104759918.

It can be written as a sum of positive squares in 4 ways, for example, as 104448400 + 715509001 = 10220^2 + 26749^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 819957401 - 2²² = 815763097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (819957403) 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 7 ways as a sum of consecutive naturals, for example, 41681 + ... + 58113.

It is an arithmetic number, because the mean of its divisors is an integer number (105087213).

Almost surely, 2^819957401 is an apocalyptic number.

It is an amenable number.

819957401 is a deficient number, since it is larger than the sum of its proper divisors (20740303).

819957401 is a wasteful number, since it uses less digits than its factorization.

819957401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17691.

The product of its (nonzero) digits is 90720, while the sum is 44.

The square root of 819957401 is about 28634.8983060880. The cubic root of 819957401 is about 935.9739538038.

The spelling of 819957401 in words is "eight hundred nineteen million, nine hundred fifty-seven thousand, four hundred one".