1000055617 has 32 divisors (see below), whose sum is σ = 1213864704. Its totient is φ = 812697600.

The previous prime is 1000055611. The next prime is 1000055657. The reversal of 1000055617 is 7165500001.

It is not a de Polignac number, because 1000055617 - 2²³ = 991667009 is a prime.

It is a super-2 number, since 2×1000055617² = 2000222474186501378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000055591 and 1000055600.

It is not an unprimeable number, because it can be changed into a prime (1000055611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674517 + ... + 675997.

It is an arithmetic number, because the mean of its divisors is an integer number (37933272).

Almost surely, 2^1000055617 is an apocalyptic number.

1000055617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1000055617 is a deficient number, since it is larger than the sum of its proper divisors (213809087).

1000055617 is a wasteful number, since it uses less digits than its factorization.

1000055617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689.

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 1000055617 is about 31623.6559714401. The cubic root of 1000055617 is about 1000.0185386563.

Adding to 1000055617 its reverse (7165500001), we get a palindrome (8165555618).

The spelling of 1000055617 in words is "one billion, fifty-five thousand, six hundred seventeen".