781972965 has 24 divisors (see below), whose sum is σ = 1402160760. Its totient is φ = 402670464.

The previous prime is 781972943. The next prime is 781972967. The reversal of 781972965 is 569279187.

It can be written as a sum of positive squares in 4 ways, for example, as 194686209 + 587286756 = 13953^2 + 24234^2 .

It is not a de Polignac number, because 781972965 - 2²⁴ = 765195749 is a prime.

It is a super-2 number, since 2×781972965² = 1222963435981782450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (781972967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298302 + ... + 300911.

It is an arithmetic number, because the mean of its divisors is an integer number (58423365).

Almost surely, 2^781972965 is an apocalyptic number.

It is an amenable number.

781972965 is a deficient number, since it is larger than the sum of its proper divisors (620187795).

781972965 is a wasteful number, since it uses less digits than its factorization.

781972965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599253 (or 599250 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 781972965 is about 27963.7795192281. The cubic root of 781972965 is about 921.2918858260.

The spelling of 781972965 in words is "seven hundred eighty-one million, nine hundred seventy-two thousand, nine hundred sixty-five".