1077965953 has 16 divisors (see below), whose sum is σ = 1115084880. Its totient is φ = 1041638400.

The previous prime is 1077965929. The next prime is 1077965963. The reversal of 1077965953 is 3595697701.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 681836544 + 396129409 = 26112^2 + 19903^2 .

It is a cyclic number.

It is not a de Polignac number, because 1077965953 - 2¹⁷ = 1077834881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1077965953.

It is not an unprimeable number, because it can be changed into a prime (1077965963) 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, 982101 + ... + 983197.

It is an arithmetic number, because the mean of its divisors is an integer number (69692805).

Almost surely, 2^1077965953 is an apocalyptic number.

It is an amenable number.

1077965953 is a deficient number, since it is larger than the sum of its proper divisors (37118927).

1077965953 is a wasteful number, since it uses less digits than its factorization.

1077965953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428.

The product of its (nonzero) digits is 1786050, while the sum is 52.

The square root of 1077965953 is about 32832.3918257565. The cubic root of 1077965953 is about 1025.3410573947.

The spelling of 1077965953 in words is "one billion, seventy-seven million, nine hundred sixty-five thousand, nine hundred fifty-three".