2677961 has 16 divisors (see below), whose sum is σ = 3208128. Its totient is φ = 2203200.

The previous prime is 2677937. The next prime is 2677963. The reversal of 2677961 is 1697762.

2677961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2677961 is a prime.

Its product of digits (31752) is a multiple of the sum of its prime divisors (392).

It is not an unprimeable number, because it can be changed into a prime (2677963) 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, 8570 + ... + 8876.

It is an arithmetic number, because the mean of its divisors is an integer number (200508).

2^2677961 is an apocalyptic number.

It is an amenable number.

2677961 is a deficient number, since it is larger than the sum of its proper divisors (530167).

2677961 is a wasteful number, since it uses less digits than its factorization.

2677961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its digits is 31752, while the sum is 38.

The square root of 2677961 is about 1636.4476771348. The cubic root of 2677961 is about 138.8677554571.

It can be divided in two parts, 267 and 7961, that added together give a palindrome (8228).

The spelling of 2677961 in words is "two million, six hundred seventy-seven thousand, nine hundred sixty-one".