2141967 has 16 divisors (see below), whose sum is σ = 3064320. Its totient is φ = 1327392.

The previous prime is 2141947. The next prime is 2141977. The reversal of 2141967 is 7691412.

It is a happy number.

2141967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2141967 - 2⁶ = 2141903 is a prime.

It is an Ulam number.

2141967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141917) 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 15 ways as a sum of consecutive naturals, for example, 2134 + ... + 2972.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

2^2141967 is an apocalyptic number.

2141967 is a deficient number, since it is larger than the sum of its proper divisors (922353).

2141967 is a wasteful number, since it uses less digits than its factorization.

2141967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902.

The product of its digits is 3024, while the sum is 30.

The square root of 2141967 is about 1463.5460361738. The cubic root of 2141967 is about 128.9053449009.

The spelling of 2141967 in words is "two million, one hundred forty-one thousand, nine hundred sixty-seven".