1307377665 has 72 divisors (see below), whose sum is σ = 2567792448. Its totient is φ = 633705120.

The previous prime is 1307377649. The next prime is 1307377691. The reversal of 1307377665 is 5667737031.

It is a happy number.

It is not a de Polignac number, because 1307377665 - 2⁴ = 1307377649 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 a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1307377665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 359044 + ... + 362666.

It is an arithmetic number, because the mean of its divisors is an integer number (35663784).

It is a Proth number, since it is equal to 19949 ⋅ 2¹⁶ + 1 and 19949 < 2¹⁶.

Almost surely, 2^1307377665 is an apocalyptic number.

1307377665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1307377665 is a deficient number, since it is larger than the sum of its proper divisors (1260414783).

1307377665 is an frugal number, since it uses more digits than its factorization.

1307377665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The square root of 1307377665 is about 36157.6778153686. The cubic root of 1307377665 is about 1093.4535874220.

The spelling of 1307377665 in words is "one billion, three hundred seven million, three hundred seventy-seven thousand, six hundred sixty-five".