2133967 has 8 divisors (see below), whose sum is σ = 2338560. Its totient is φ = 1931160.

The previous prime is 2133949. The next prime is 2133973. The reversal of 2133967 is 7693312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2133967 - 2⁷ = 2133839 is a prime.

It is a d-powerful number, because it can be written as 2 + 1 + 3¹² + 3¹³ + 9² + 6⁵ + 7³ .

It is a Duffinian number.

2133967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4378 + ... + 4840.

It is an arithmetic number, because the mean of its divisors is an integer number (292320).

2^2133967 is an apocalyptic number.

2133967 is a deficient number, since it is larger than the sum of its proper divisors (204593).

2133967 is a wasteful number, since it uses less digits than its factorization.

2133967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893.

The product of its digits is 6804, while the sum is 31.

The square root of 2133967 is about 1460.8103915293. The cubic root of 2133967 is about 128.7446624865.

The spelling of 2133967 in words is "two million, one hundred thirty-three thousand, nine hundred sixty-seven".