2672967 has 16 divisors (see below), whose sum is σ = 3929472. Its totient is φ = 1602720.

The previous prime is 2672947. The next prime is 2672987. The reversal of 2672967 is 7692762.

It is an interprime number because it is at equal distance from previous prime (2672947) and next prime (2672987).

It is not a de Polignac number, because 2672967 - 2⁶ = 2672903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3153 + ... + 3909.

It is an arithmetic number, because the mean of its divisors is an integer number (245592).

2^2672967 is an apocalyptic number.

2672967 is a deficient number, since it is larger than the sum of its proper divisors (1256505).

2672967 is a wasteful number, since it uses less digits than its factorization.

2672967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878.

The product of its digits is 63504, while the sum is 39.

The square root of 2672967 is about 1634.9210990136. The cubic root of 2672967 is about 138.7813791540.

It can be divided in two parts, 26729 and 67, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 2672967 in words is "two million, six hundred seventy-two thousand, nine hundred sixty-seven".