819957645 has 48 divisors (see below), whose sum is σ = 1540156800. Its totient is φ = 401148288.

The previous prime is 819957569. The next prime is 819957667. The reversal of 819957645 is 546759918.

It is not a de Polignac number, because 819957645 - 2⁹ = 819957133 is a prime.

It is a super-3 number, since 3×819957645³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 819957591 and 819957600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91056 + ... + 99654.

It is an arithmetic number, because the mean of its divisors is an integer number (32086600).

Almost surely, 2^819957645 is an apocalyptic number.

It is an amenable number.

819957645 is a deficient number, since it is larger than the sum of its proper divisors (720199155).

819957645 is a wasteful number, since it uses less digits than its factorization.

819957645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8783 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 819957645 is about 28634.9025666231. The cubic root of 819957645 is about 935.9740466450.

The spelling of 819957645 in words is "eight hundred nineteen million, nine hundred fifty-seven thousand, six hundred forty-five".