1671764961 has 8 divisors (see below), whose sum is σ = 2230192800. Its totient is φ = 1113923552.

The previous prime is 1671764957. The next prime is 1671765019. The reversal of 1671764961 is 1694671761.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1671764961 - 2² = 1671764957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1671764961.

It is not an unprimeable number, because it can be changed into a prime (1671764911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139911 + ... + 151388.

It is an arithmetic number, because the mean of its divisors is an integer number (278774100).

Almost surely, 2^1671764961 is an apocalyptic number.

It is an amenable number.

1671764961 is a deficient number, since it is larger than the sum of its proper divisors (558427839).

1671764961 is a wasteful number, since it uses less digits than its factorization.

1671764961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293215.

The product of its digits is 381024, while the sum is 48.

The square root of 1671764961 is about 40887.2224661935. Note that the first 3 decimals coincide. The cubic root of 1671764961 is about 1186.8388101469.

The spelling of 1671764961 in words is "one billion, six hundred seventy-one million, seven hundred sixty-four thousand, nine hundred sixty-one".