1006957377 has 12 divisors (see below), whose sum is σ = 1454793444. Its totient is φ = 671166720.

The previous prime is 1006957373. The next prime is 1006957397. The reversal of 1006957377 is 7737596001.

1006957377 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 9 + 573 + 77 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 480530241 + 526427136 = 21921^2 + 22944^2 .

It is not a de Polignac number, because 1006957377 - 2² = 1006957373 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1006957373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54613 + ... + 70685.

It is an arithmetic number, because the mean of its divisors is an integer number (121232787).

Almost surely, 2^1006957377 is an apocalyptic number.

It is an amenable number.

1006957377 is a deficient number, since it is larger than the sum of its proper divisors (447836067).

1006957377 is a wasteful number, since it uses less digits than its factorization.

1006957377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23040 (or 23037 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 1006957377 is about 31732.5917157739. The cubic root of 1006957377 is about 1002.3137680153.

The spelling of 1006957377 in words is "one billion, six million, nine hundred fifty-seven thousand, three hundred seventy-seven".