1290617141 has 16 divisors (see below), whose sum is σ = 1455169536. Its totient is φ = 1134030000.

The previous prime is 1290617137. The next prime is 1290617173. The reversal of 1290617141 is 1417160921.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1290617141 - 2² = 1290617137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1290617098 and 1290617107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290617191) 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, 349736 + ... + 353406.

It is an arithmetic number, because the mean of its divisors is an integer number (90948096).

Almost surely, 2^1290617141 is an apocalyptic number.

1290617141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1290617141 is a deficient number, since it is larger than the sum of its proper divisors (164552395).

1290617141 is a wasteful number, since it uses less digits than its factorization.

1290617141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744.

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 1290617141 is about 35925.1602780002. The cubic root of 1290617141 is about 1088.7608005614.

The spelling of 1290617141 in words is "one billion, two hundred ninety million, six hundred seventeen thousand, one hundred forty-one".