6825961 has 8 divisors (see below), whose sum is σ = 6979464. Its totient is φ = 6673920.

The previous prime is 6825953. The next prime is 6825971. The reversal of 6825961 is 1695286.

It can be written as a sum of positive squares in 4 ways, for example, as 354025 + 6471936 = 595^2 + 2544^2 .

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 6825961 - 2³ = 6825953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6825961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825901) 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, 19161 + ... + 19513.

It is an arithmetic number, because the mean of its divisors is an integer number (872433).

Almost surely, 2^6825961 is an apocalyptic number.

6825961 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6825961 is a deficient number, since it is larger than the sum of its proper divisors (153503).

6825961 is a wasteful number, since it uses less digits than its factorization.

6825961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731.

The product of its digits is 25920, while the sum is 37.

The square root of 6825961 is about 2612.6540145989. The cubic root of 6825961 is about 189.6944396053.

The spelling of 6825961 in words is "six million, eight hundred twenty-five thousand, nine hundred sixty-one".