827740965 has 32 divisors (see below), whose sum is σ = 1404034560. Its totient is φ = 414977024.

The previous prime is 827740957. The next prime is 827740967. The reversal of 827740965 is 569047728.

It is a cyclic number.

It is not a de Polignac number, because 827740965 - 2³ = 827740957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827740967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281332 + ... + 284258.

It is an arithmetic number, because the mean of its divisors is an integer number (43876080).

Almost surely, 2^827740965 is an apocalyptic number.

827740965 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

827740965 is a deficient number, since it is larger than the sum of its proper divisors (576293595).

827740965 is a wasteful number, since it uses less digits than its factorization.

827740965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061.

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 827740965 is about 28770.4877435194. The cubic root of 827740965 is about 938.9262543293.

The spelling of 827740965 in words is "eight hundred twenty-seven million, seven hundred forty thousand, nine hundred sixty-five".