6772961 has 8 divisors (see below), whose sum is σ = 7491624. Its totient is φ = 6082560.

The previous prime is 6772951. The next prime is 6772967. The reversal of 6772961 is 1692776.

It can be written as a sum of positive squares in 4 ways, for example, as 2193361 + 4579600 = 1481^2 + 2140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6772961 - 2⁶ = 6772897 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6772967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6560 + ... + 7521.

It is an arithmetic number, because the mean of its divisors is an integer number (936453).

Almost surely, 2^6772961 is an apocalyptic number.

It is an amenable number.

6772961 is a deficient number, since it is larger than the sum of its proper divisors (718663).

6772961 is a wasteful number, since it uses less digits than its factorization.

6772961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14131.

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

The square root of 6772961 is about 2602.4913064216. The cubic root of 6772961 is about 189.2022042035.

The spelling of 6772961 in words is "six million, seven hundred seventy-two thousand, nine hundred sixty-one".