1741856961 has 16 divisors (see below), whose sum is σ = 2502617600. Its totient is φ = 1071273600.

The previous prime is 1741856947. The next prime is 1741856981. The reversal of 1741856961 is 1696581471.

It is a happy number.

It is not a de Polignac number, because 1741856961 - 2⁵ = 1741856929 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1741856961.

It is not an unprimeable number, because it can be changed into a prime (1741856981) 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, 57840 + ... + 82638.

It is an arithmetic number, because the mean of its divisors is an integer number (156413600).

Almost surely, 2^1741856961 is an apocalyptic number.

It is an amenable number.

1741856961 is a deficient number, since it is larger than the sum of its proper divisors (760760639).

1741856961 is a wasteful number, since it uses less digits than its factorization.

1741856961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26616.

The product of its digits is 362880, while the sum is 48.

The square root of 1741856961 is about 41735.5599099856. The cubic root of 1741856961 is about 1203.1990937815.

The spelling of 1741856961 in words is "one billion, seven hundred forty-one million, eight hundred fifty-six thousand, nine hundred sixty-one".