1405137165 has 32 divisors (see below), whose sum is σ = 2272112640. Its totient is φ = 741486144.

The previous prime is 1405137133. The next prime is 1405137221. The reversal of 1405137165 is 5617315041.

It is not a de Polignac number, because 1405137165 - 2⁵ = 1405137133 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 597522 + ... + 599868.

It is an arithmetic number, because the mean of its divisors is an integer number (71003520).

Almost surely, 2^1405137165 is an apocalyptic number.

1405137165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1405137165 is a deficient number, since it is larger than the sum of its proper divisors (866975475).

1405137165 is a wasteful number, since it uses less digits than its factorization.

1405137165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 1405137165 is about 37485.1592633671. The cubic root of 1405137165 is about 1120.0555789277.

The spelling of 1405137165 in words is "one billion, four hundred five million, one hundred thirty-seven thousand, one hundred sixty-five".