1077465961 has 32 divisors (see below), whose sum is σ = 1289312640. Its totient is φ = 887577600.

The previous prime is 1077465959. The next prime is 1077465973. The reversal of 1077465961 is 1695647701.

It is not a de Polignac number, because 1077465961 - 2¹ = 1077465959 is a prime.

It is a super-2 number, since 2×1077465961² = 2321865794227307042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077465761) 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 31 ways as a sum of consecutive naturals, for example, 2116575 + ... + 2117083.

It is an arithmetic number, because the mean of its divisors is an integer number (40291020).

Almost surely, 2^1077465961 is an apocalyptic number.

1077465961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1077465961 is a deficient number, since it is larger than the sum of its proper divisors (211846679).

1077465961 is a wasteful number, since it uses less digits than its factorization.

1077465961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777.

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 1077465961 is about 32824.7766329034. The cubic root of 1077465961 is about 1025.1825051981.

The spelling of 1077465961 in words is "one billion, seventy-seven million, four hundred sixty-five thousand, nine hundred sixty-one".