6958965 has 32 divisors (see below), whose sum is σ = 12128256. Its totient is φ = 3386880.

The previous prime is 6958957. The next prime is 6959003. The reversal of 6958965 is 5698596.

It is not a de Polignac number, because 6958965 - 2³ = 6958957 is a prime.

6958965 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24625 + ... + 24905.

It is an arithmetic number, because the mean of its divisors is an integer number (379008).

Almost surely, 2^6958965 is an apocalyptic number.

6958965 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6958965 is a deficient number, since it is larger than the sum of its proper divisors (5169291).

6958965 is a wasteful number, since it uses less digits than its factorization.

6958965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429.

The product of its digits is 583200, while the sum is 48.

The square root of 6958965 is about 2637.9850264928. The cubic root of 6958965 is about 190.9185896119.

The spelling of 6958965 in words is "six million, nine hundred fifty-eight thousand, nine hundred sixty-five".