1405984101 has 16 divisors (see below), whose sum is σ = 1909163520. Its totient is φ = 920109680.

The previous prime is 1405984049. The next prime is 1405984147. The reversal of 1405984101 is 1014895041.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1405984101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405984001) 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, 126166 + ... + 136856.

It is an arithmetic number, because the mean of its divisors is an integer number (119322720).

Almost surely, 2^1405984101 is an apocalyptic number.

It is an amenable number.

1405984101 is a deficient number, since it is larger than the sum of its proper divisors (503179419).

1405984101 is a wasteful number, since it uses less digits than its factorization.

1405984101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11496.

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1405984101 is about 37496.4545123936. The cubic root of 1405984101 is about 1120.2805687932.

The spelling of 1405984101 in words is "one billion, four hundred five million, nine hundred eighty-four thousand, one hundred one".