1020706965 has 48 divisors (see below), whose sum is σ = 1796361840. Its totient is φ = 536094720.

The previous prime is 1020706963. The next prime is 1020706987. The reversal of 1020706965 is 5696070201.

1020706965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 782097156 + 238609809 = 27966^2 + 15447^2 .

It is not a de Polignac number, because 1020706965 - 2¹ = 1020706963 is a prime.

It is a super-2 number, since 2×1020706965² = 2083685416799022450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020706963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919831 + ... + 920939.

It is an arithmetic number, because the mean of its divisors is an integer number (37424205).

Almost surely, 2^1020706965 is an apocalyptic number.

1020706965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020706965 is a deficient number, since it is larger than the sum of its proper divisors (775654875).

1020706965 is a wasteful number, since it uses less digits than its factorization.

1020706965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1020706965 is about 31948.5048945956. The cubic root of 1020706965 is about 1006.8552202373.

The spelling of 1020706965 in words is "one billion, twenty million, seven hundred six thousand, nine hundred sixty-five".