2531961 has 24 divisors (see below), whose sum is σ = 3861000. Its totient is φ = 1596672.

The previous prime is 2531951. The next prime is 2531981. The reversal of 2531961 is 1691352.

2531961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 281961 + 2250000 = 531^2 + 1500^2 .

It is not a de Polignac number, because 2531961 - 2⁷ = 2531833 is a prime.

It is a d-powerful number, because it can be written as 2³ + 5⁹ + 3¹² + 1 + 9³ + 6⁶ + 1 .

2531961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2531951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23175 + ... + 23283.

It is an arithmetic number, because the mean of its divisors is an integer number (160875).

2^2531961 is an apocalyptic number.

It is an amenable number.

2531961 is a deficient number, since it is larger than the sum of its proper divisors (1329039).

2531961 is a wasteful number, since it uses less digits than its factorization.

2531961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 230 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 2531961 is about 1591.2136877239. The cubic root of 2531961 is about 136.2968034925.

The spelling of 2531961 in words is "two million, five hundred thirty-one thousand, nine hundred sixty-one".