10677821 has 16 divisors (see below), whose sum is σ = 13454208. Its totient is φ = 8232000.

The previous prime is 10677817. The next prime is 10677833. The reversal of 10677821 is 12877601.

It is not a de Polignac number, because 10677821 - 2² = 10677817 is a prime.

It is a super-2 number, since 2×10677821² = 228031722616082, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10677881) 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, 7091 + ... + 8463.

It is an arithmetic number, because the mean of its divisors is an integer number (840888).

Almost surely, 2^10677821 is an apocalyptic number.

10677821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10677821 is a deficient number, since it is larger than the sum of its proper divisors (2776387).

10677821 is a wasteful number, since it uses less digits than its factorization.

10677821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492.

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 10677821 is about 3267.6935290813. The cubic root of 10677821 is about 220.2051873563.

It can be divided in two parts, 1067 and 7821, that added together give a palindrome (8888).

The spelling of 10677821 in words is "ten million, six hundred seventy-seven thousand, eight hundred twenty-one".