2115967 has 16 divisors (see below), whose sum is σ = 2560000. Its totient is φ = 1746360.

The previous prime is 2115961. The next prime is 2115979. The reversal of 2115967 is 7695112.

2115967 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 2115967 - 2¹⁵ = 2083199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115961) 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, 10534 + ... + 10732.

It is an arithmetic number, because the mean of its divisors is an integer number (160000).

2^2115967 is an apocalyptic number.

2115967 is a deficient number, since it is larger than the sum of its proper divisors (444033).

2115967 is an equidigital number, since it uses as much as digits as its factorization.

2115967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its digits is 3780, while the sum is 31.

The square root of 2115967 is about 1454.6363806808. The cubic root of 2115967 is about 128.3816530625.

The spelling of 2115967 in words is "two million, one hundred fifteen thousand, nine hundred sixty-seven".