1077137663 has 16 divisors (see below), whose sum is σ = 1321795584. Its totient is φ = 856705920.

The previous prime is 1077137657. The next prime is 1077137669. The reversal of 1077137663 is 3667317701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1077137657) and next prime (1077137669).

It is a de Polignac number, because none of the positive numbers 2^k-1077137663 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1077137663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077137669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55295 + ... + 72192.

It is an arithmetic number, because the mean of its divisors is an integer number (82612224).

Almost surely, 2^1077137663 is an apocalyptic number.

1077137663 is a deficient number, since it is larger than the sum of its proper divisors (244657921).

1077137663 is a wasteful number, since it uses less digits than its factorization.

1077137663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127582.

The product of its (nonzero) digits is 111132, while the sum is 41.

The square root of 1077137663 is about 32819.7754867397. The cubic root of 1077137663 is about 1025.0783721157.

The spelling of 1077137663 in words is "one billion, seventy-seven million, one hundred thirty-seven thousand, six hundred sixty-three".