10957965 has 16 divisors (see below), whose sum is σ = 18456000. Its totient is φ = 5536512.

The previous prime is 10957951. The next prime is 10957967. The reversal of 10957965 is 56975901.

10957965 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10957965 - 2⁶ = 10957901 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10957967) 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, 18940 + ... + 19509.

It is an arithmetic number, because the mean of its divisors is an integer number (1153500).

Almost surely, 2^10957965 is an apocalyptic number.

10957965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10957965 is a deficient number, since it is larger than the sum of its proper divisors (7498035).

10957965 is a wasteful number, since it uses less digits than its factorization.

10957965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38476.

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 10957965 is about 3310.2817100664. The cubic root of 10957965 is about 222.1143595520.

The spelling of 10957965 in words is "ten million, nine hundred fifty-seven thousand, nine hundred sixty-five".