120827817 has 36 divisors (see below), whose sum is σ = 193212292. Its totient is φ = 72705600.

The previous prime is 120827813. The next prime is 120827827. The reversal of 120827817 is 718728021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 793881 + 120033936 = 891^2 + 10956^2 .

It is not a de Polignac number, because 120827817 - 2² = 120827813 is a prime.

It is a super-2 number, since 2×120827817² = 29198722721970978, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120827813) 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 35 ways as a sum of consecutive naturals, for example, 196803 + ... + 197415.

Almost surely, 2^120827817 is an apocalyptic number.

It is an amenable number.

120827817 is a deficient number, since it is larger than the sum of its proper divisors (72384475).

120827817 is a wasteful number, since it uses less digits than its factorization.

120827817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 120827817 is about 10992.1707137398. The cubic root of 120827817 is about 494.3740235394.

The spelling of 120827817 in words is "one hundred twenty million, eight hundred twenty-seven thousand, eight hundred seventeen".