1017865216 has 33 divisors (see below), whose sum is σ = 2036779329. Its totient is φ = 508422144.

The previous prime is 1017865181. The next prime is 1017865223. The reversal of 1017865216 is 6125687101.

The square root of 1017865216 is 31904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 876160000 + 141705216 = 29600^2 + 11904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1020430 + ... + 1021426.

Almost surely, 2^1017865216 is an apocalyptic number.

1017865216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1017865216 is the 31904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017865216

1017865216 is an abundant number, since it is smaller than the sum of its proper divisors (1018914113).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1017865216 is an frugal number, since it uses more digits than its factorization.

1017865216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The cubic root of 1017865216 is about 1005.9199569530.

It can be divided in two parts, 1017865 and 216, that added together give a square (1018081 = 1009²).

The spelling of 1017865216 in words is "one billion, seventeen million, eight hundred sixty-five thousand, two hundred sixteen".