1698338961 has 48 divisors (see below), whose sum is σ = 2821654080. Its totient is φ = 1001237760.

The previous prime is 1698338909. The next prime is 1698338969.

1698338961 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1698338961 - 2⁶ = 1698338897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1698338898 and 1698338907.

It is not an unprimeable number, because it can be changed into a prime (1698338969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404505 + ... + 408681.

It is an arithmetic number, because the mean of its divisors is an integer number (58784460).

Almost surely, 2^1698338961 is an apocalyptic number.

1698338961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1698338961 is a deficient number, since it is larger than the sum of its proper divisors (1123315119).

1698338961 is a wasteful number, since it uses less digits than its factorization.

1698338961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4228 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 1698338961 is about 41210.9082768143. The cubic root of 1698338961 is about 1193.0943550369.

The spelling of 1698338961 in words is "one billion, six hundred ninety-eight million, three hundred thirty-eight thousand, nine hundred sixty-one".