2968677 has 16 divisors (see below), whose sum is σ = 4502080. Its totient is φ = 1932336.

The previous prime is 2968673. The next prime is 2968681. The reversal of 2968677 is 7768692.

It is a happy number.

2968677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2968673) and next prime (2968681).

It is not a de Polignac number, because 2968677 - 2² = 2968673 is a prime.

It is a d-powerful number, because it can be written as 2²¹ + 9³ + 6² + 8³ + 6⁶ + 7² + 7⁷ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968673) 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, 118 + ... + 2439.

It is an arithmetic number, because the mean of its divisors is an integer number (281380).

2^2968677 is an apocalyptic number.

2968677 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2968677 is a deficient number, since it is larger than the sum of its proper divisors (1533403).

2968677 is a wasteful number, since it uses less digits than its factorization.

2968677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2603 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2968677 is about 1722.9849099745. The cubic root of 2968677 is about 143.7212489444.

It can be divided in two parts, 29686 and 77, that multiplied together give a palindrome (2285822).

The spelling of 2968677 in words is "two million, nine hundred sixty-eight thousand, six hundred seventy-seven".