2981953 has 16 divisors (see below), whose sum is σ = 3459456. Its totient is φ = 2545920.

The previous prime is 2981947. The next prime is 2981959. The reversal of 2981953 is 3591892.

It is an interprime number because it is at equal distance from previous prime (2981947) and next prime (2981959).

It is a de Polignac number, because none of the positive numbers 2^k-2981953 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (2981959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22698 + ... + 22828.

It is an arithmetic number, because the mean of its divisors is an integer number (216216).

2^2981953 is an apocalyptic number.

It is an amenable number.

2981953 is a deficient number, since it is larger than the sum of its proper divisors (477503).

2981953 is a wasteful number, since it uses less digits than its factorization.

2981953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

The product of its digits is 19440, while the sum is 37.

The square root of 2981953 is about 1726.8332287746. The cubic root of 2981953 is about 143.9351720795.

The spelling of 2981953 in words is "two million, nine hundred eighty-one thousand, nine hundred fifty-three".