2984961 has 16 divisors (see below), whose sum is σ = 4573184. Its totient is φ = 1696464.

The previous prime is 2984953. The next prime is 2984977. The reversal of 2984961 is 1694892.

It is not a de Polignac number, because 2984961 - 2³ = 2984953 is a prime.

2984961 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984921) 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, 6216 + ... + 6678.

It is an arithmetic number, because the mean of its divisors is an integer number (285824).

2^2984961 is an apocalyptic number.

2984961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2984961 is a deficient number, since it is larger than the sum of its proper divisors (1588223).

2984961 is a wasteful number, since it uses less digits than its factorization.

2984961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780.

The product of its digits is 31104, while the sum is 39.

The square root of 2984961 is about 1727.7039676982. The cubic root of 2984961 is about 143.9835532914.

The spelling of 2984961 in words is "two million, nine hundred eighty-four thousand, nine hundred sixty-one".