2198961 has 16 divisors (see below), whose sum is σ = 3400320. Its totient is φ = 1401840.

The previous prime is 2198909. The next prime is 2198981. The reversal of 2198961 is 1698912.

It is not a de Polignac number, because 2198961 - 2⁶ = 2198897 is a prime.

It is an Ulam number.

It is a Curzon number.

2198961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2198981) 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, 1150 + ... + 2391.

It is an arithmetic number, because the mean of its divisors is an integer number (212520).

2^2198961 is an apocalyptic number.

It is an amenable number.

2198961 is a deficient number, since it is larger than the sum of its proper divisors (1201359).

2198961 is a wasteful number, since it uses less digits than its factorization.

2198961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3567 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 2198961 is about 1482.8894092278. The cubic root of 2198961 is about 130.0386669988.

It can be divided in two parts, 219 and 8961, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 2198961 in words is "two million, one hundred ninety-eight thousand, nine hundred sixty-one".